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

2 Answers
Mar 21, 2018

Answer:

#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

Answer:

#-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#