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Math 1075 - Wednesday, 08.29.18 - [5.5] [3a]Linear inequalities and Systems of linear inequalities in two variables Revisiting section 5.4 for a moment . . . 5.5 - A Typical Linear Inequality in two variables x and y will usually be written something like this; x + y > 5 or perhaps y ≤ 1/2x - 3A SOLUTION to a linear inequality in two variables will be any ordered pair (x, y) that makes the inequality true. Example; (3, 7) is one of many solutions to x + y > 5 since 3 + 7 > 5 is true. A few more would be (9, 3), (0, 7), (- 4, 11), . . . BUT, (1, 2) is NOT one of the solutions to x + y > 5 since 1 + 2 > 5 is NOT true. The graph of a linear inequality in two variables will be a SHADED AREA, providing a picture of the infinite number of solutions. How-To draw the graph . . . 1. Pretend it says “=“ rather than an inequality symbol and sketch the line or dashed line. 2. Use a SOLID line if the inequality shows ≤ or ≥, DASHED line for < or >. [points on a SOLID line MUST be solutions!]3. Shade the side of the line where solutions occur. Just plug in any point that’s not exactly on the line, and see if works or not. If it works, shade its side, but if not, shade the other side. 132w− 5 − 7 ≤ −511< 7 p + 4