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ABSENT ASSIGNMENT OCTOBER 14, 2011 Solving and Graphing Inequalities To graph an inequality, you must do two things. First you must put a circle on the number (in this case, 3). Second, you must shade to the side of the circle that contains the solution set. Circle: > and < get an open circle. > and < get a closed circle. Shade: Less than (and < ) Left (think L, L) Greater than (and > ) Right THE ONE DIFFERENCE BETWEEN SOVING EQUATIONS AND INEQUALITIES When you multiply or divide on both sides by a negative number, you must turn the inequality around. 8 – 3x < 17 -8 -8 - 3x < 9 -3 -3 x > -3 a) 5x – 4 > -14 * Dividing both sides by -3, you must turn the inequality around. It changes from < to >. b) 7(4x + 6) > 6(3x + 2) c) 2(3x – 4) – 5(2x + 3) > -7 Do all problems (work and graphs) in NOTEBOOK: 1) 12x – 17 > 19 2) 41 – ½ x < 39 4) 8(5x + 4) – 6(5x + 7) < 20 5) 6(4x+ 1) > 5(3x + 3) 7) 6(3x – 4) + 3(7 – 12x) > 15 8) 26 - ⅝ x > -2 10) 4(3x + 4) < 11(2x + 6) 11) 7(2x – 5) – 6(3x – 7) > -9 13) 5(8x – 4) > 12(2x – 3) 14) 4(8x – 3) + 5(8 – 6x) < 28 3) 14x - 2 > 20x + 16 6) ¾ x – 11 >-14 9) 8(7x + 1) > 5(12x + 4) 12) 4(10x – 7) > 7(6x – 4) 15) 7(3x + 2) < 5(6x – 8)