How do you solve and write the following in interval notation: #-1<=( x + 1) / -2<= 3#?

1 Answer
Constance
May 1, 2017

this can be solved by breaking the equation into 2 parts
1. # -1 <= (x+1)/-2#
2. # (x+1)/-2 <= 3#

Explanation:

for 1,
we can first bring everything on 1 side, which gives
# -1 + (x + 1)/2 <= 0#
multiply the whole equation by 2 to get ride of the denominator
# 2 + x + 1 <= 0#
# 3 + x <= 0#
#x <= -3#

this same method can also be used for eqn 2!

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