How do you solve #-6x - 3( 3x + 6) > 102#?

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Answer 1 · 2018-03-25T19:34:42

#=>x < -8#

We start with:

#=>-6x-3(3x+6)>102#

We distribute the #3# into #3x+6#:

#=>-6x-9x-18>102#

We combine terms containing #x#:

#=>-15x-18>102#

We add #18# to both sides:

#=>-15x>120#

Dividing both sides by #-15#. Notice the direction of the inequality changes since we divided by a negative value.

#=>x < -8#