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17 September, 01:33

Manuela solved the equation 3 - 2|0.5x + 1.5| = 2 for one solution. Her work is shown below. 3 - 2|0.5x + 1.5| = 2 - 2|0.5x + 1.5| = - 1 |0.5x + 1.5| = 0.5 0.5x + 1.5 = 0.5 0.5x = - 1 x = - 2 The other solution to the equation is.

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  1. 17 September, 02:51
    -1
    For

    |a|=b

    assume

    a=b and a=-b

    so

    3-2|0.5x+1.5|=2

    minus 3 both sides

    -2|0.5x+1.5|=-1

    diide both sides by - 2

    |0.5x+1.5|=0.5

    set negative and postivive

    0.5x+1.5=0.5 and 0.5x+1.5=-0.5

    solve each

    0.5x+1.5=0.5

    minus 1.5 both sides

    0.5x=-1

    times 2 both sides

    x=-2

    other

    0.5x+1.5=-0.5

    minus 1.5 from oth sides

    0.5x=-2

    times 2 both sides

    x=-4

    the solutions are x=-2 and x=-4
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