SOLUTION: Solve the inequality. Give the solution using interval notation and graph it. |2x – 5| > 7

Algebra ->  Linear-equations -> SOLUTION: Solve the inequality. Give the solution using interval notation and graph it. |2x – 5| > 7       Log On


   

Question 1107822: Solve the inequality. Give the solution using interval notation and
graph it.
|2x – 5| > 7
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Either 2x-5 is negative or it is non-negative. Solve for both conditions.

2x-5%3E7
2x%3E7%2B5%0D%0A%7B%7B%7B2x%3E12
x%3E6

-2x%2B5%3E7
-2x%3E2
x%3C-1

SOLUTION: system%28x%3C-1%2COR%2Cx%3E6%29

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This is 2x-5>7 and 2x-5 < -7 (I want an absolute value to be LESS than -7, so the actual value is GREATER than 7).
The first is x >6 and the second is x < -1
(-oo, -1) U (6, oo)
Check with 0 (should not work) and |-5| is not > 7
7 should work and |14-5| > 7 and does
-2 should work and |-4-5| >7 does.