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26 February, 11:08

How do i solve this inequality? - 2|3m|+3<-51

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  1. 26 February, 11:25
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    m >9 or m < - 9

    Step-by-step explanation:

    -2|3m|+3<-51

    Subtract 3 from each side

    -2|3m|+3-3<-51-3

    -2|3m|<-54

    Divide each side by - 2, remembering to flip the inequality

    -2|3m| / - 2>-54/-2

    |3m|> 27

    To get rid of the absolute values, we separate into two inequalities, one as written and one negative, remembering to flip the inequality

    3m >27 or 3m <-27

    Divide by 3 on each side

    3m/3 >27/3 or 3m/3 <-27/3

    m >9 or m < - 9
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