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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