Question

Which graph represents the solution set for -4(1-×)<-12+2×?

Answer 1

I will answer assuming that the equation is 4(1-x) < -12+2x

1) 4 - 4x < - 12 + 2x

2) 2x + 4x > 4 + 12

3) 6x > 16

4) x > 16 / 6

5) x > 8 / 3

So the graph is all the real numbers greater than 8/3 which may be represented by a straight line from 8/3 to the right toward infinity


                                                              //////////////////////→
---------|--------------|--------------|----------o-----|-------------->
          0                1                2           8/3   3