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

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Running Head: Week–2 Assignment1Solving and Graphing Two-Variable Inequalities in Real-World ShippingScenariosTwo-Variable InequalitiesIn problem 68 on page 539, we need to find alinear inequalitywhich will giveinformation about the number of refrigerators and the number of TVs that will fit into an 18-wheelertruck.To draw graphs I have used “Graphmatica” software, it highlighted the regionsin other quadrants than quadrant 1 also (I do not know how to remove that part), so here weare going to consider only quadrant 1 values in the graph.The problem is:“Shipping restrictions:The accompanying graph shows all of the possibilities for thenumber of refrigerators and the number of TVs that will fit into an 18-wheeler.a)Write aninequalityto 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 solvethis problem, we need to check for different combinations of number ofrefrigerators and TVs on the basis of inequality which we will get from 68(a), these pointswill be our “test points”. We will have one of the numbers of refrigerators or TVs will begiven and we need to find the number of second item which will satisfy the inequality.

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