1. Algebra 6.2 Solving Multi-Step Linear Inequalities

2. Using More Than One Step Let’s Solve. 5x – 3 > 12 +3 +3 +3 +3 5x > 15 5x > 15 x > 3 x > 3

3. Watch this Mirror Image Exercise This will show you why we flip the sign when we multiply or divide by a negative.

4. Multiplying or Dividing by a Negative Let’s Solve. -3x + 1 < 22 -1 -1 -1 -1 -3x < 21 -3x < 21 x > -7 x > -7 Remember, multiplying or dividing by a negative flips the sign. You Solve. -x + 1 > 3x + 21 +x +x +x +x 1 > 4x + 21 1 > 4x + 21 -21 -21 -21 -21 -20 > 4x -20 > 4x -5 > x -5 > x x < -5 x < -5

5. Working With Fractions Let’s Solve. 0 < ½ x + 6 -6 -6 -6 -6 -6 < ½ x -6 < ½ x 2/1(-6 < ½ x)2/1 -12 < x -12 < x x > -12 x > -12 You Solve. ¾ x + 5 > 8 -5 -5 -5 -5 ¾ x > 3 ¾ x > 3 4/3(¾ x > 3)4/3 4/3(¾ x > 3)4/3 x > 4 x > 4

6. Working With Parentheses Let’s Solve. -(x + 5) < -4x - 11 -x - 5 < -4x – 11 -x - 5 < -4x – 11 +x +x +x +x -5 < -3x – 11 -5 < -3x – 11 +11 +11 +11 +11 6 < -3x 6 < -3x -2 > x -2 > x x < -2 x < -2 You Solve. -(4 + x) > 2(x – 5) -4 - x > 2x – 10 -4 - x > 2x – 10 +x +x +x +x -4 > 3x – 10 -4 > 3x – 10 +10 +10 +10 +10 6 > 3x 6 > 3x 2 > x 2 > x x < 2 x < 2

7. One from the HW Together P. 344 #20, #44 P. 344 #20, #44

8. HW P. 343 – 345 (15-35, 43-61) P. 343 – 345 (15-35, 43-61)