Question

Which of the following is the correct graph of the solution to the inequality −13 > −5x + 2 > −28? number line with open dots at 3 and 6 and shading i

Answer 1

-13 > -5x + 2
-13 - 2 > -5x
-15 > -5x (divide by -5 and change the sign)
3 < x

-5x + 2 > - 28
-5x > -28 - 2
-5x > -30 (divide by -5 and change the sign)
x < 6

so we have x is greater then 3 and less then 6
3 < x < 6

open circles on 3 and 6 and shading in between