Solve for below:

Question

-6(x+4)≥-6 or -2(x-12)≤-4

Answer 1

First lets solve for x in the first part.

 

   -6(x+4) ≥ -6

 

Divide both sides by -6 ... reverse the inequality when dividing or multiplying by a negative

 

     x + 4 ≤ 6

           x ≤ 2

 

Now lets solve for x in the second part

 

     -2(x - 12) ≤ -4

 

Divide both sides by -2 ... reverse the inequality when dividing or multiplying by a negative

 

         x - 12 ≥ 2

                x ≥ 14

 

So the solution is

 

         x ≤ 2 or x ≥ 14