3.2.3 Solving Compound Inequalities - Worksheet
Example 1:
1. An iguana needs to live in a warm environment. The temperature in a pet iguana’s cage should be between 70ºF and 95ºF inclusive. Write a compound inequality to show the temperatures that are within the recommended range. Graph the solutions.
Example 2: Solve each compound inequality and graph the solutions.
2. − 3 < x + 2 < 7
3. 5 ≤ 4 x + 1 ≤ 13
4. 2 < x + 2 < 5
5. 11 < 2 x + 3 < 21
Example 3:
Solve each compound inequality and graph the solutions.
6. x + 2 < − 6 OR x + 2 > 6
7. r − 1 < 0 OR r − 1 > 4
8. n + 2 < 3 OR n + 3 > 7
9. x − 1 < − 1 OR x − 5 > − 1
Example 4:
Write the compound inequality shown by each graph.
10.
11.
–6–5–4–3–2–1 0 1 2 3 4
–5–4–3–2–1 0 1 2 3 4 5
12.
13.
–10–8–6–4–2 0 2 4 6 8 10
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