Inequality is undoubtedly the most blatant and pressing issue that plagues society. After all, how can we possibly accept that some perpetually carry the scar of a long history of poverty that impedes them from having opportunities in life? As we find ourselves face-to-face with this despicable reality we should ask ourselves: what equality of opportunity should we aim for and what measures must be taken in order to solve this issue? John Rawls and Robert Nozick present diverging views on social equality in their books A Theory of Justice and Anarchy, State, and Utopia, respectively. Nozick, on one hand, believes that liberty is the most central good and that if a property is justly owned then social inequalities are acceptable and should thus be free of intervention. He believes that people have property rights, thereby conceding them the right to what they justly own. Rawls challenges the importance that Nozick gives to property rights, by claiming that many times property ownership stems from advantageous social positions and natural talents. With that in mind, he proposes his Second Principle and Difference Principle in order to aim at correcting the injustices that arise as a product of birth accidents. Rawls’ theory of justice represents the ideal of equality of opportunity which a just society should aim at, for it is not enough to merely have a formal liberty – effective liberty is necessary as well for there to be equal access to opportunities in society. It is important to no infringe on people’s liberties, though, while trying to bring about equality. However, it is Nozick’s liberty theory that I will be using in this paper as the one we should try to preserve, for it consists in having one’s rights respected (29) – that is, their duties and claim-rights. The only amendment I will add to Nozick’s point of view is that liberty is only justified in being restricted if by doing so in the short run it will bring about maximal liberty to everyone in the long run. That said, in order to obtain this ideal equality of opportunity it is important to protect liberty as well, so that the property that stems from your talent and hard work is protected. Neither liberty nor equality should trump one another – they should exist in congruity. I will therefore argue in this paper that the means to an ideal equality of opportunity is to have a meritocratic unified educational system that incorporates Rawls’ theory of justice, but excludes his Difference Principle and redistributive measures in order to protect people’s liberty. In order to arrive at the ideal equality of opportunity proposed, I will therefore trace both philosophers’ ideas that should either be grounded in the system or absent from it. When it comes to treating inequalities, Nozick is not concerned with effective liberty – he believes that formal liberty suffices. That is, his focus is not on whether people actually have the means to acquire something, but simply on whether they have the right to do so. He presents his conception of justice through his entitlement theory:

“1. A person who acquires a holding in accordance with the principle of justice in acquisition is entitled to that holding. 2. A person who acquires a holding in accordance with the principle of justice in transfer, from someone else entitled to the holding, is entitled to the holding. 3. No one is entitled to a holding except by (repeated) application of 1 and 2.” (151)

That is, Nozick is only concerned with whether property ownership is just; he does not care about inequality as an end-result as long as the means of acquisition are just. He believes that liberty (as long as the points in his entitlement theory hold true) should trump any attempt at correcting societal inequalities. However, we cannot be oblivious to the inequalities that root our societies, and so it is important to also focus in effective liberty– after all, that is what essentially allows individuals to have equal...

...There are many sociological explanations for female inequality in society. Inequality is where something/ someone is seen as not equal compared to something else. For example men have more opportunities than women in life, suggesting females suffer huge inequality in many factors of life.
Firstly, Anne Oakley speaks about how women suffer inequalities in the work place. Oakley notes that after the industrial revolution in Britain acts were passed to limit women working; in 1851 one in four married women worked whereas in 1911 one in ten worked. During the Victorian era the ideology that a woman's place was in the home became truly established and industrialisation led to the separation of men from the daily routine of domestic life. Now it is claimed that women suffer from four main inequalities in the workplace. Firstly, there is the much debated pay gap in which, even though legislation to stop unequal pay was introduced in the 1970's, the although narrowing pay gap is still visible between men and women. Secondly half of all females in employment are in part time employment; this form of employment is often less secure with fewer benefits. Thirdly, women suffer from vertical segregation; this is sometimes referred to as "the glass ceiling effect". Women are seemingly unable to achieve the higher ranking positions and are stopped from achieving managerial positions by an invisible barrier. Lastly,...

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Inequalities
Deborah White
Ashford University
MAT221: Introduction to Algebra (AFN1312A)
Instructor: Tracy Abram
April 1, 2013
On page 151 of Elementary and Intermediate Algebra, the Body Mass Index (BMI) is given as:
BMI= 703W/H2
W = one’s weight in pounds
H = one’s height in inches.
By calculating four intervals based on your height can be possible by using the Body Mass Index formula. However, in this situation I am going to use inequalities to calculate Body Mass Index(BMI) which is meant to use my height to calculate if I’m overweight , having a longer life span than average, or to calculate if I’m obese. In the real world it is significant to have knowledge about being overweight because this could come into the use of attention of medical assistance. By using inequalities and solving them could serve a far more severe importance than just a mathematical problem.
The first interval for this problem is the solvation for a longer life span than average.
17< BMI <22 The compound inequality.
17< 703W/H2 <22 Use the BMI formula in replace of the original compound inequality so
we now have an equivalent inequality.
17< 703W/62.002 <22 I replaced H2 for my height in inches.
17< 703W/3844 <22 Then, I multiplied the three numbers by the denominator to rid the
exponent that was on the bottom associated with my height.
17(3844)< 703W(3844)/3844 <...

...Gender Inequality
The issue of gender inequality is one which has been publicly reverberating through society for decades. The problem of inequality in employment being one of the most pressing issues today. In order to examine this situation one must try to get to the root of the problem and must understand the sociological factors that cause women to have a much more difficult time getting the same benefits, wages, and job opportunities as their male counterparts. The society in which we live has been shaped historically by males.
However, in many parts of the world, women receive less attention and health care than men do, and particularly girls often receive very much less support than boys. As a result of this gender bias, the mortality rates of females often exceed those of males in these countries. The concept of missing women was devised to give some idea of the enormity of the phenomenon of women's adversity in mortality by focusing
on the women who are simply not there, due to unusually high mortality compared with male mortality rates. In some regions in the world, inequality between women and men directly involves matters of life and death, and takes the brutal form of unusually high mortality rates of women and a consequent preponderance of men in the total population, as opposed to the preponderance of women found in societies with little or no gender bias in health care and nutrition. Mortality...

...Inequalities
In this assignment I will demonstrate every step of the process of determining my body
mass index or BMI. After finding the body mass index I will then complete the following
intervals based on my height. The formula used to determine the body mass
index is BMI= 703W , where W represents a person weight in pounds and H represents a person
H2
height in inches.
My height is 70 inches. The first interval shows a compound inequality for:
17<BMI<22
17<703W<22
H2 To make it an equivalent inequality I replaced the BMI with the formula
17<703W<22
702 My height in inches replaced H2
17<703W<22
4900 then multiply by the height that was squared
17(4900)<703W<22(4900)
4900 cancelling is performed
83300 <703W<107800 multiplication carried out
83300<703W<107800
703 703 703 to get W by itself all terms were divided by 703
118.49<W<153.34
After completing the problem I determined that people who are 70 inches may have a longer that average life if they weigh between 118.49 and 153.34
To solve this interval I’m going to solve for W prior to solving the inequality.
23<703W<25
H2 Multiply by H2...

...2-Variable Inequality
Here is an example of a problem very similar to the one in the Week Three Assignment:
Catskills Hammock Company can obtain at most 2000 yards of striped canvas for making its full size and chair size hammocks. A full size hammock requires 10 yards of canvas and the chair size requires 5 yards of canvas. Write an inequality that limits the number of striped hammocks of each type which can be made.
(b) First I must define what variables I will be using in my inequality.
Let f = the number of full size hammocks
Let c = the number of chair size hammocks
Since each full size hammock requires 10 yards of canvas I will use 10f, and since each chair hammock requires 5 yards of canvas I will use 5c. The total amount of canvas which can be used is limited to 2000 yards because that is all they can get. Together my inequality will look like this:
10f + 5c ≤ 2000
(d) If we call f the independent variable (on the horizontal axis) and c the dependent variable (on the vertical axis) then we can graph the equation using the intercepts.
The f-intercept is found when c = 0:
10f ≤ 2000
f ≤ 200 The f-intercept is (200, 0).
The c-intercept is found when f = 0:
5c ≤ 2000
c ≤ 400 The c-intercept is (0, 400).
Because this is a “less than or equal to” inequality the line will be solid, sloping downward as it moves from left to right. The region of...

...
Two-Variable Inequalities
Kathleen Kent
MAT 222 Week 2 Assignment
Guillermo Alvarez
September 22, 2014
Two-Variable Inequalities
This week’s assignment will show how two-variable inequalities can be used in real-world scenarios by using independent and dependent variables. This week’s assignment will use graph representations and show how the two-variable inequalities can be incorporated into several problems to show how many of each item trucks can ship without going over their weight limit.
The first problem that I will be doing is #68 on page 539 (Dugopolski, 2012). Below, the graph shows the maximum number of TVs the 18-wheeler can hold without refrigerators, and the maximum number of refrigerators the 18-wheeler can hold without TVs.
On the X-axis, the graph shows the refrigerators, and on the Y-axis, the graph shows the TVs that the 18-wheeler can carry at a time. To find the slope of the line, I will use the two points that are on the graph, (0,330) and (110,0).
The slope is m= y1 - y2 = 0 – 330 = -330 = -3, so the slope is -3.
x1 – x2 110 – 0 110
To make it easier to find how many refrigerators and how many TVs can fit in the 18-wheeler, it would be best to have a linear equation. To find the linear equation, the point-slope form can be used.
y - y1 = m(x – x1) This is the point-slope form.
y – 330 = -3 (x - 0) The slope is...

...Assignment: Inequalities
Math 221: Introduction to Algebra
Instructor Jonah Mutua
June 16, 2013
Inequalities
This assignment involves the use of inequalities in mathematical equations. The formula for finding Body Mass Index (BMI) is BMI =703W/H^2.
In this formula W = weight in pounds
In this formula H = height in inches.
For this assignment four intervals based on our own personal heights must be calculated. I am 6 feet 4 inches tall. My height in inches (or H) equals 76. These intervals include inequalities that are categorized as between or compound inequalities. One interval in this assignment will be a regular inequality. Wherever “BMI” appears in the inequalities, we will exchange the formula and solve the inequality for W to find the weight ranges that fit each category for my height.
The first interval calculates those who might have a longer than average life span. The compound inequality for this follows:
17<BMI<22
17<703W/76^2<22
17<703W/5776<22
17*5776<703W<22*5776
98192<703W<127072 (Dividing all by 703)
139.6756<W<180.7567
140<W<181
People with a height of 76 inches may have a longer lifespan if they weigh between 140 and 181 pounds (after rounding up).
Now we will do something a little different from the...

...outline some inequalities and differences on a street that you know.
'Inequality' in our society is described as 'The unequal distribution of valued social resources' (Allen and Blakeley 2014, p.13), and 'Difference' is defined as 'Contrasts between groupings of people' (Allen and Blakeley 2014, p.25). This essay will distinguish some of the inequalities and differences that are observable on Market Street, In Manchester.
Firstly,Inequalities within Market Street are numerous but subtle. At first glance Market Street seems to thrive on allowing for differences, but some differences are seen as unacceptable. This leads to inequality (such as the allowance to occupy a space and having access to desired items) towards people displaying those 'undesirable' differences that aren't deemed to be 'social norms'.
Homelessness is one such difference. Many homeless individuals rely on busking or begging on the street to get by but in a recent interview (Slater 2015) John Jones, a homeless gentleman in Manchester, said they are unfortunately often moved on by the community police or told to move on by shop owners because they 'attract the wrong kind of people'. Furthermore there is a problem with companies either installing or planning to install 'Homeless spikes' in the area close to Market Street, which prevent the homeless from sheltering in the doorways or crevices around the shops in question (Slater...