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22 April, 17:18

Which statements are true for solving the equation 0.5 - |x - 12| = - 0.25? Check all that apply.

The equation will have no solutions.

A good first step for solving the equation is to subtract 0.5 from both sides of the equation.

A good first step for solving the equation is to split it into a positive case and a negative case.

The positive case of this equation is 0.5 - |x - 12| = 0.25.

The negative case of this equation is x - 12 = - 0.75.

The equation will have only 1 solution

+3
Answers (1)
  1. 22 April, 17:46
    0
    So

    for |a|=b, solve for a=b and a=-b

    remember,

    |n|≥0 for all real numbers n

    first, minus 0.5 both sides then times - 1 to get

    |x-12|=0.75

    the positive case is x-12=0.75

    negative case is x-12=-0.75

    2 solutions

    so answers are

    first one

    second

    4th

    A good first step for solving the equation is to subtract 0.5 from both sides of the equation.

    A good first step for solving the equation is to split it into a positive case and a negative case.

    The negative case of this equation is x - 12 = - 0.75.
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