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11 February, 10:50

Rewrite without absolute value for the given conditions: y=|x-3|+|x+2|-|x-5|, if x<-2

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  1. 11 February, 11:43
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    Step-by-step explanation:

    hello:

    y=|x-3|+|x+2|-|x-5|, if x<-2

    if x<-2:

    x-3 ≤ 0 so : |x-3| = - (x-3) = 3-x

    x+2 ≤ 0 so : |x+2| = - (x+2) = - x-2

    x-5≤ 0 so : |x-5| = - (x-5) = 5-x

    y = (3-x) + (-x-2) - (5-x) = 3-x-x-2-5+x

    y = - x - 4
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