Week 2 Assignment Essay

966 WordsJul 7, 20144 Pages
Two Variable Inequalities Mat222 Instructor Jonathan Summer June 30, 2014 Two-Variable Inequalities A two variable inequality states that when you substitute the values of the variables into the inequality using relational symbol <,>, it produces a true statement. An example of a two variable inequality would be A+B>C. Substitute 1 for A and 2 for B and 3 for C, this statement would be true because 3 is equivalent to 3. This assignment requires me to figure out the amount of televisions and refrigerators that can fit on an 18 wheeler using two variable inequalities. The use of a graph is necessary in this assignment as it helps to demonstrate the number of TV’s and refrigerators that can fit in an 18 wheeler at one time. The y axis represents the number of TV’s and the x axis represents the number of refrigerators. The line is a solid line and not a dotted line because the points on the line are a part of the solution set. (0,330) and (110,0) are the two points that was given in the textbook. In order to calculate the slope of the line, I will use the formula: m=y1-y2 x1-x2 330-0 0-125 330 -125 - 66 The slope of the line 25 Now that I have the slope, I can use it to figure out the inequality using the point slope-form. y-y1=m(x-x1) Point-slope form y-330= - 66 (x-0) Substitute slope and values given from textbook 25 +330 +330 Add 330 to both sides y= - 66x+330 multiply 25 by both sides 25 25y= -66x+8250 Add 66x to both sides and change to less than or equal to sign 66x+25y≤8250 this is the inequality As stated before, the graph has a solid line rather than a dotted line which states that the points on the line are part of the solution set. This is indicated in the inequality by the less than or equal to symbol. The next part of the problem asks if the

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