1. Alg. I - 3.6 Practice

2. |x+4|+ 3 = 17 |x+4|= 14 or x+4 = -14 x+4 = 14 x = 10or x = -18

3. 3|2x – 5|– 10 > -1 3|2x – 5|> 9 or x > 4 2x – 5 < -3 2x < 2 or 2x – 5 > 3 |2x – 5|> 3 -33 x < 1 2x > 8

4. |7 + x|+ 4 < 19 |7 + x |< 15 -22 < x < 8 -22 8 7 + x < 15 7 + x > -15 x < 8 x > -22

5. Solve, graph and write the final condensed solution in set notation. A) x 5 B) x -1 C) x>2 and x>7 2 5 No solution 327 -1 x 3< x > 7

6. Solve, graph and write the final condensed solution in set notation. A) x 5 B) x -1 C) x>2 OR x>7 2 5 x 5 327 All reals x > 2

7. 4 – 2 |x+ 9| = -6 -2| x+ 9|= -10 or x + 9 = -5 x + 9= 5 x = -4 x = -14 | x+ 9 |= 5

8. 2|x – 5 | < 14 |x – 5 |< 7 -2 < x < 12 -2 12 x – 5 < 7 x – 5 > -7 X < 12 x > -2

9. |3x + 2|+ 7 > 11 |3x+ 2|> 2 or x > 0 3x + 2 < -2 3x < -4 or 3x + 2 > 2 -4/30 x < -4/3 3x > 0

10. 2|3x-1|+ 5 = 33 2|3x-1|= 28 or 3x - 1 = -143x - 1 = 14 3x = 15 3x = -13 |3x-1|= 14 x = 5x = -13/3