Algebra 1 Companion Book, Vol 1 – Summer Edition

3.2 Review Worksheet, Part 2

3.2.3 Solving Compound Inequalities 1. Earth’s atmosphere is made of several layers. A layer called the stratosphere extends from about 16 km above Earth’s surface to about 50 km above Earth’s surface. Write a compound inequality to show the altitudes that are within the range of the stratosphere. Graph the solutions.

Solve each compound inequality and graph the solutions. 2. − 1 < x + 1 < 1

3. 1 ≤ 2 n − 5 ≤ 7

4. − 2 < x − 2 < 2

5. 5 < 3 x − 1 < 17

6. x − 4 < − 7 OR x + 3 > 4

7. 2 x + 1 < l OR x + 5 > 8

8. x + 1 < 2 OR x + 5 > 8

9. x + 3 < 0 OR x − 2 > 0

Write the compound inequality shown by each graph. 10. 11. –3–2–101234567

–3–2–101234567

12.

13.

–10–8–6–4–2 0 2 4 6 8 10 5

–5 –4–3–2–1 0 1 2 3 4 5

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