SOLUTION: solve the following equations and inequalities: 3|2x-1|-5<4

Algebra ->  Absolute-value -> SOLUTION: solve the following equations and inequalities: 3|2x-1|-5<4       Log On


   



Question 1011045: solve the following equations and inequalities:
3|2x-1|-5<4

Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Isolate the absolute value.

abs%282x-1%29%3C9%2F3
abs%282x-1%29%3C3

Apply the two conditions.

2x-1%3C3
2x%3C4
x%3C2

OR

-2x%2B1%3C3
1%3C3%2B2x
-2%3C2x
-1%3Cx

Altogether, highlight%28-1%3Cx%3C2%29 .