Question

Solve for x: −2x − 4 > 8

Answer 1

To solve for x in an inequality is very similar to solving for x in an equation since for both you would need to isolate x. 

step 1) -2x-4>8               add the 4 over to move any constants over to the                         +4 +4              other side.
             -2x> 12

step 2) x< -6                 Divide out the -2 to isolate x, however, keep in mind,                                      when you divide or multiply over any negative                                                   number, you must also remember to flip the inquality                                      sign.


Answer: x<-6

Answer 2

-2x - 4 > 8     Add 4 to both sides of the inequality sign
      -2x > 12   Divide both sides by -2 (When you divide by a negative on an                                 inequality, you need to flip the inequality sign as well.)
         x < -6