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Solving And Graphing Two-Variable Inequalities In Real-World Shipping Scenarios

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    Running Head: Week – 2 Assignment 1 Solving and Graphing Two - Variable Inequalities in Real - World Shipping Scenarios Two - Variable Inequalities In problem 68 on page 539, we need to find a linear inequality which will give information about the number of refrigerators and the number of TVs that will fit into an 18 - wheeler truck . To draw graphs I have used “Graphmatica” software, it highlighted the regions in other quadrants than quadrant 1 also (I do not know how to remove that part), so here we are going to consider only quadrant 1 values in the graph. The problem is: “ Shipping restrictions: The accompanying graph shows all of the possibilities for the number of refrigerators and the number of TVs that will fit into an 18 - wheeler. a) Write an inequality to describe this region. b) Will the truck hold 71 refrigerators and 118 TVs? c) Will the truck hold 51 refrigerators and 176 TVs? ” (Dugopolski, 2012) To solve this problem, we need to check for different combinations of number of refrigerators and TVs on the basis of inequality which we will get from 68(a) , these points will be our “ test points ” . We will have one of the numbers of refrigerators or TVs will be given and we need to find the number of second item which will satisfy the inequality.

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