# Mat 222 week 2 paper

**Topics:**Equality, Binary relation, Analytic geometry

**Pages:**3 (735 words)

**Published:**November 12, 2013

Two Variable Inequalities

Kristine Heckman

MAT 222 Intermediate Algebra

Instructor Leah Murray

November 4, 2013

TWO VARIABLE INEQUALITIES

For this assignment, I am going to work with two-variable inequalities and demonstrate the practical application of these inequalities. I am going to use a graph that shows the number of TV’s on the left side and the number of refrigerators on the bottom. Of course this would mean that my x axis is the bottom, and my y axis on the left. The line shows the combination of TV’s and refrigerators that the truck can hold.

The problem I am going to work on is #68 on page 539 . The 18 wheeler truck can hold 330 TV’s with no refrigerators, or 110 refrigerators and no TV’s. When studying this graph, imagine that the triangle region is shaded, and that it represents any given number of coordinates that is in the shaded area is a combination of TV’s and refrigerators that will fit in the truck.

Because there are two points on the graph, I can figure out the slope of the line. So our slope is -3/1

I can now use this slop in point-slope form to write an equation. When we are finished, we will arrive at our linear inequality.

Our point-slope form equation

Replace the slope with-3/1 and (330,0) for the x and y

Add 330 to both sides using the distributive property

Multiply both sides by 1, then add 3x to both sides

Change the equal sign to a less than or equal to symbol. Because the line represents coordinates that can include numbers on that line, as well as anything in the shaded part, we will use a solid line, instead of a dotted line. This is also represented in the symbol having the equal bar underneath the less than symbol.

Now I am going to answer the two questions that accompany the first part of the assignment.

The first question asks if the truck will hold 71 refrigerators and 118 TV’s. Another way to phrase this is to ask if the coordinates...

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