How do you solve the inequality #-6 < x + 3 <6# ?

1 Answer
Rachel
Jun 3, 2016

#-9<##x<3#

Explanation:

If we start with #-6<##x+3<6#, we can begin by breaking this one expression into to, like so:

#-6<##x+3# and #x+3<6#. Now we can solve for the two different #x#s.

#-6<##x+3#, minus #3# on both sides, and we have #-9<##x#.

With #x+3<##6#, we once again subtract #3# on both sides, which leaves us with #x<3#.

So, #x# can be greater than #-9# and smaller that #3#, which we can write as #-9<##x<3#

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