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

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.