# How do you graph and solve # |3 - 2x| ≥ 4#?

##### 2 Answers

Mar 19, 2016

x <= -1/4

x >= 7/2

#### Explanation:

Separate solving in 2 parts:

a.

b. -(3 - 2x) >= 4

-3 + 2x >= 4

2x >= 7 -->

Solution set: half-closed intervals (-inf, -1/4] and [7/2, +inf)

========= -1/4 -------- 0 ------------------------------ 7/2 ==============

Note. The 2 end points are included in the solution set

Mar 19, 2016

x is outside the closed interval

#### Explanation:

From the first in the pair,

From the second,