# How do you solve the compound inequality #2x-2<=0# or #2x+5>15#?

##### 1 Answer

Jul 6, 2017

(-inf, 1] and (5, +inf)

#### Explanation:

Solving by the double-number- line method.

First solve foe x in the 2 inequalities:

Mark these values of x on a double-number-line:

(1) + + + + + + + + + +1 - - - - - - - - - - - - 5 - - - - - - - - - - - -- -

(2) - - - - - - - - - - - - -1 - - - - - - - - - - - - 5 + + + + + + + + + +

By superimposing, the compound solution set are:

half closed interval (- inf, 1] and open interval (5, inf)