Solve for x.
-12 <-3x-15<_36

-1 > x and x > 7.

Step-by-step explanation:

-12 < -3x - 15 < -36

What we are looking at here is a comparison with -12 being the smallest value, -3x - 15 being the second smallest value, and 36 being the largest value in the sequence. What you need to do is to make the problem into two separate problems:

-12 < -3x - 15

and

-3x - 15 < -36

Then we solve the equations like so (using PEMDAS):

-12 < -3x - 15

+15            +15

3 < -3x

/-3    /-3

-1 > x   (the sign was changed the other way because when you divide by a negative it has to be flipped)

Now the other equation

-3x - 15 < -36

     +15      +15

-3x < -21

/-3     /-3

x >  7

Now we have the inequalities of -1 > x and x > 7.

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