Algebra 1 PRACTICE: Compound Inequalities



Algebra 1 6.3C WS: Compound Inequalities Name __________________________

I. Decide whether the provided number is a solution. Write YES or NO.

1. Is 13 a solution to the compound inequality “x > 5 AND x < 10” _____________

2. Is 13 a solution to the compound inequality “x > 5 OR x < 10” _____________

3. Is 4 a solution to the compound inequality “x > 0 AND x < 7” _____________

4. Is 5 a solution to the compound inequality “-3 < x < 6” _____________

5. Is 7 a solution to the compound inequality “-3 < x < 6” _____________

II. Solve and graph each problem. Then write your final answer in set notation.

6. 2(x – 3) – 8 < -4 AND 19 - 3x < 10

[pic]

Set not: __________________

7. 3x - 10 < 4(x – 2) AND 3 < x + 3

[pic]

Set not: __________________

8. ½ x + 12 > 10 OR -x > 5

[pic]

Set not: __________________

9. -4x + 8 < 8 OR [pic] + 1 < 2 [pic]

Set not: __________________

10. -6 < 2x + 4 < 8

Set not: __________________

11. 8 > -2(x + 3) > -4

Set not: __________________

12. -3 > 2x + 1 AND 8x + 1 > 7 + 6x

[pic]

Set not: __________________

13. 2(1 – 2x) < 6 OR 1 + 4x – (2x + 1) < -6

[pic]

Set not: __________________

14. 2 < -3x + 8 < 17

Set not: __________________

15. -2x – 3 < 5 OR 3x + 1 < 16

[pic]

Set not: __________________

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