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

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

anonymous · Answer

-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