How do you solve the inequality -4 < 2 + x <1?

2 Answers
Mar 21, 2018

x in (-6,-1)

Explanation:

Add -2 to each term

-4-2 < 2-2+x < 1-2 or

-6 < x < -1 so

x in (-6,-1)

Mar 21, 2018

-6< x < -1

Explanation:

"Isolate x in the middle interval by subtracting 2 from all 3"
"intervals"

-4color(red)(-2)< cancel(2)cancel(color(red)(-2))+x<1color(red)(-2)

rArr-6 < x < -1