How do you solve and graph #-3<=3-2x<=9#?

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Answer 1 · 2017-08-22T21:39:05

Given #-3<=3-2x<=9#

Subtract 3 from left, center, and right:

#-6 <= -2x <= 6#

Multply left, center, and right by -1/2. Note: When we do this, we change every #< # into #>#

#3 >= x >= -3#

Because of symmetry, this can be written as if we had not changed them at all:

#-3<=x<=3#