Question

solve and graph: 4-3 |2x-7| > -17

Answer 1

4 - 3 | 2x - 7 | > -17 --- subtract 4 from both sides
-3 | 2x - 7 | > -17 - 4
-3 | 2x - 7 | > -21 -- now divide both sides by -3, and change inequality sign
| 2x - 7 | < -21/-3
| 2x - 7 | < 7

2x - 7 < 7 -(2x - 7) < 7
2x < 14 -2x + 7 < 7
x < 7 -2x < 0 -- divide by -2, and change sign
x > 0

so we have x < 7 and x > 0
open circle (because there is no equal sign) on 0 and 7, shading in between

Answer 2

thank you so much!!!

Answer 3

sure thing :)