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Math Help - Find the soulution set for each inequality...Help Please!

  1. #1
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    Find the soulution set for each inequality...Help Please!

    3(12 - x) - 2 < 28

    The answer i got was x < 30 over 36...Is this correct?
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  2. #2
    Super Member Aryth's Avatar
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    You have to carefully move things from one side to the other, you start with:

    3(12 - x) - 2 \leq 28

    1. Add 2 to both sides:

    3(12 - x) \leq 30

    2. Divide both sides by 3:

    12 - x \leq 10

    3. Subtract 12 from both sides:

    -x \leq -2

    Now, here's the hard part:

    4. Divide both sides by -1 and FLIP the less than or equal symbol to be greater than or equal to. Whenever you divide or multiply by a negative number, you flip the inequality:

    x \geq 2

    And that's your answer.
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