Algebra I Part 1
Solving Compound Inequalities
P. 306-308: 6, 8, 10, 13, 14, 16, 18-23, 28, 30, 31, 39
Name: _______________________________
Solve each compound inequality. Then graph the solution set.
6. f – 6 < 5 and f – 4 ≥ 2
8. y – 1 ≥ 7 or y + 3 < -1
13. 22 ≥ 4m – 2 or 5 – 3m ≤ -13
10. -5 < 3p + 7 ≤ 22
14. -4a + 13 ≥ 29 and 10 < 6a – 14
16. SPEED The posted speed limit on an interstate highway is shown. Write an
inequality that represents the sign. Graph the inequality.
Write a compound inequality for each graph.
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28. COUPON Juanita has a coupon for 10% off any digital camera at a local electronics store. She is looking
at digital cameras that range in price from $100 to $250.
a. How much are the cameras after the coupon is used?
b. If the tax amount is 6.5%, how much should Juanita expect to spend?
Define a variable, write an inequality, and solve each problem. Then check your solution.
30. The sum of 3 times a number and 4 is between -8 and 10.
31. The product of -5 and a number is greater than 35 or less than 10.
39. ERROR ANALYSES Chloe and Jonas are solving 3 < 2x – 5 < 7. Is either of them correct? Explain your
reasoning.