Inequalities
Absolute Value Equations
Solve and graph the solution each of the following equations. Write the solution in interval notation.
Set 1
1. |2x+ 3| = 5 2. |3 – x| = 7
3. |4x – 3| = 13 4. |5 – 3x| = 2
5. = 5 6. = 2
7. 3 – |5x – 2| = –7 8. – =
9. – 3 = 10. 4 – 2|4 – 3x| = –8
11. |5x + 3| = |2x – 1| 12. |2 + 3x| = |4 – 2x|
13. |3x – 4| = |2x + 3| 14. =
15. = 16. =
Set 2
1. | x | < 3 2. | x | ≤ 8
3. | 2x | < 6 4. ≤ 5
5. | x + 3 | < 4 6. | x – 2 | < 6
7. | x – 8 | < 12 8. <
9. < 10. <
11. | x – 1 | < 3 12. | x + 3 | ≤ 4
13. | 3x – 2 | < 9 14. < 1
15. | 2x + 5 | < 9 16. < 3
17. 1 + 2|x – 1| ≤ 9 18. 10 – 3|x – 2| ≥ 4
19. 6 – |2x – 5| ≥ 3 20. – 2 ≥ –
21. – 2 > –2 22. – 3 ≥ –
Set 3
1. | x | > 5 2. | 3x | > 5
3. > 4 4. | x – 4 | > 5
5. | x + 3 | ≥ 3 6. | 2x – 4 | > 6
7. | 3x – 5 | ≥ 3 8. ≥ 3
9. > 2 10. ≥ 3
11. 3 – |2 – x| < 1 12. 4 + 3|x – 1| ≥ 10
13. 3 – 2|3x – 1| ≥ –7 14. + ≥
15. – ≤ – 16. – < –
Answers
Set 1
1. –4, 1 2. 10, –4 3. 4, – 4. 1,
5. – , 6. –3, 7. , – 8. , –
9. , 10. , – 11. – , – 12. –6,
13. 7, 14. – , – 15. – , – 16. 0, –
Set 2
2. [–8, 8] 4. [–2, 2] 6. (–4, 8)
8. (– , 1) 10. (1, ) 12. [–7, 1]
14. (0, 4) 16. (–5, 4) 17. [–3, 5]
18. [0, 4] 19. [1, 4] 20. [–10, 2]
21. [–1, 3] 22.
Set 3
2. (–∞, – ) or (, ∞) 4. (–∞, –1) or (9, ∞) 6. (–∞, –1) or (5, ∞)
8. (–∞, –3] or [9, ∞) 10. (–∞, –2] or [7, ∞) 11. (–∞, 0) or (4, ∞)
12. (–∞, –1] or [3, ∞) 13. 14. (–∞, –1] or [0, ∞)
15. or [3. ∞) 16. or
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- solving and graphing inequalities practice
- graphing inequalities khan academy
- graphing inequalities practice
- inequalities and their graphs
- solve and graph inequalities calculator
- solving inequalities and graphing steps
- khan academy graphing inequalities practice
- systems of inequalities graphs
- graphing inequalities calculator with shading
- solve the system of inequalities calculator
- solutions to inequalities calculator
- solving linear inequalities by graphing