Which of the following is the correct graph of the solution to the inequality -13 > -5x + 2 > -28? Answer?

Updated on August 6, 2022

2 Answers

  • -13 > -5x + 2 > -28

    -13 – 2 > -5x > -28-2

    -15 > -5x > -30

    3 < x < 6

    There is no “following” to choose from, but the correct graph will indicate the open interval between 3 and 6.

  • STEP 1

    Subtract 2 from all three ‘parts’ of the inequality, yielding -15 > -5x > -30

    STEP 2

    Divide all three parts of the new inequality by -5, yielding 3 < x < 6

    Note that the inequality signs reverse when mult or div is by a negative number — in this case, by -5.