MAT 222 week 2 Assignment Essay

634 Words3 Pages
Two- Variable Inequalities
Lynwood Wright
MAT 222 Week 2 Assignment
Instructor: Dr. Stacie Williams
December 14, 2013

In Elementary Algebra we have learned how to solve systems of equations. The solution to a system of linear equations is the point where the graphs of the lines intersect. The solution to a system of linear inequalities is every point in a region of the graph where the inequalities overlap, rather than the point of intersection of the lines (Slavin, 2001).
This week assignment required to solve problem 68 on page 539 (Dugopolski, 2012). I will be giving a detailed presentation on math required for the solution to this problem; the accompanying graph shows all of the
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c) | Will the truck hold 51 refrigerators and 176 TVs? | This problem is similar to the previous one.

-3 (51) + 1 (176) < 110
-153 +176 < 110
23 < 110 yes, the truck will hold at least 51 refrigerators and 176 TVs

The Burbank Buy More store is going to make an order which will include at most 60 refrigerators. What is the maximum number of TVs which could also be delivered on the same 18-wheeler? Describe the restrictions this would add to the existing graph.
Solving for y
1(60) + -3y < 110
-3y < -60 + 110 add 110 to -60 to get 50
-3y < 50 divide both terms by -3
-3y/-3 > 50/-3 signs flip y > -50/3 or y = 16
There will be no added restriction because the maximum numbers of TVs
The next day, the Burbank Buy More decides they will have a television sale so they change their order to include at least 200 TVs. What is the maximum number of refrigerators which could also be delivered in the same truck? Describe the restrictions this would add to the original graph.
1x + -3 (200) < 110 x < 600 + 100 x = < 710
If 200 TVs are ship.

When graphing linear inequalities and they are greater than or less than you will use a dashed line. When the inequality is greater than or equal to or less than or equal to you will then use a solid line, which indicates that the points on the line are part of the solution set (Slavin, 2001). In this paper I have shown you a linear equation and broke down each step in solving the
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