1. Day Problems Solve each inequality. Check your solution. 1. 4d + 7 ≤ 232. -4x – 2 < 8 3. 2(j – 4) ≥ -64. 6p – 1 > 3p + 8 5. 3x + 2 > -4x + 16

2. 3.5 Compound Inequalities Compound Inequalities – two inequalities that are joined by the word and or the word or. Can write the compound inequality x ≥ -5 and x ≤ 7 as -5 ≤ x ≤ 7. -8-6 0 2 4 -4 -2 6 8

3. Writing a Compound Inequality Write a compound inequality that represents each situation. Graph the solutions. a.All real numbers that are at least -2 and at most 4 n ≥ -2 and n ≤ 4 -2 ≤ n ≤ 4 -4-3 0 1 2 -2 3 4

4. Writing a Compound Inequality b.Today’s temperature will be above 32°F, but not as high as 40°F. 32 < t and t < 40 32 < t < 40 26283436 38 30 32 40 42

5. Solving a Compound Inequality Containing And Solve -4 < r – 5 ≤ -1. Graph your solution. -4 < r – 5 ≤ -1 -4 < r – 5AND r – 5 ≤ -1 +5 +5 + 5 +5 1 < rAND r ≤ 4 -2234 0 1 5 6

6. Solving a Compound Inequality Joined by Or 11/12/10 Writing Compound Inequalities Write a compound inequality that represents the situation. Graph the solution. All real numbers that are less than 3 or greater than 7. x 7 0 1 456 2 3 7 8

7. Solving a Compound Inequality Containing Or Solve the compound inequality 4 + k > 3 or 6k < -30 4 + k > 3 OR6k < -30 -4 -4 k < -5 k > -1 -8-7-4-3-2 -6 -5 0

8. Solving a Compound Inequality Containing Or Solve the compound inequality 4v + 3 < -5 or -2v + 7 < 1 4v + 3 < -5 OR-2v + 7 < 1 -3 -3 - 7 -7 4v < -8 -2v < -6 v 3 -4-3 0 1 2 -2 3 4