MATH (REPLY FAST)

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4-3|m+2|>-14

  • MATH (REPLY FAST) -

    4 - 3|m + 2| > -14
    there are two cases here.
    Case I: |m + 2| = m + 2
    4 - 3(m+2) > -14
    4 - 3m - 6 > -14
    -3m - 2 > -14
    -3m > -12
    m < 4

    Case II: |m + 2| = -(m + 2)
    4 - (-3(m+2)) > -14
    4 + 3m + 6 > -14
    3m + 10 > -14
    3m > -24
    m > -8
    therefore, all real numbers between -8 and 4, or:
    -8 < m < 4

    hope this helps~ :)

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