Algebra Bell-work 9/13/17 Turn in your HW! 1.) 7x – 6 = 2x + 9 2.) -2x > 10 (Check your answer!)

1-6: Solving Multi-step Inequalities Rules for solving inequalities: 1.) Solve same way as a regular equation, but your answer is more of a solution set. (You can have more than one answer that makes the inequality true.) 2.) Graph the solution on a number line:

1-6: Solving Multi-step Inequalities 2.) Graphing the solution on a number line:

1) Solve 5m - 8 > 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12 + 8 + 8 5m > 20 5 5 m > 4 5(4) – 8 = 12 o 4 5 3

2) Solve 12 - 3a > 18 - 12 - 12 -3a > 6 -3 -3 a < -2 - 12 - 12 -3a > 6 -3 -3 a < -2 12 - 3(-2) = 18 o -2 -1 -3

Which graph shows the solution to 2x - 10 ≥ 4? .

4) Solve 2r - 18 ≤ 5r + 3 ● -2r -2r -18 ≤ 3r + 3 - 3 - 3 -21 ≤ 3r 3 3 - 3 - 3 -21 ≤ 3r 3 3 -7 ≤ r or r ≥ -7 2(-7) – 18 = 5(-7) + 3 ● -7 -6 -8

5) Solve

Special Case #1 3x + 4 > 2(x + 3) + x 3x + 4 > 2x + 6 + x Distribute Combine like terms Get variable on same side True or false? 3x + 4 > 2(x + 3) + x 3x + 4 > 2x + 6 + x 3x + 4 > 3x + 6 -3x -3x 4 > 6 This statement is FALSE: No Solution

Special Case #2 3 – 3(y – 2) < 13 – 3(y – 6) Distribute Combine like terms Get variable on same side True or false? 3 – 3(y – 2) < 13 – 3(y – 6) 3 – 3y + 6 < 13 – 3y + 18 -3y + 9 < -3y + 31 +3y + 3y 9 < 31 This statement is TRUE: All Real Solutions