How do you solve and write the following in interval notation: abs(2x+5)>=3?

1 Answer
Jul 14, 2016

(-inf., -4] and [-1, inf.)

Explanation:

I2x + 5I >= 3.

Separate solving into 2 parts:
a. (2x + 5) >= 3
2x >= - 2
x >= - 1

b. - (2x + 5) >- 3
- 2x - 5 >= 3
- 2x >= 8
x <= -4
Answers by half closed intervals: (-inf., -4] and [-1, inf.)
Graph

=============== -4 -------------- -1 === 0 ===============