How do you graph and solve $4 | 3 - z | - 8 = 8$ $4 | 3 - z | - 8 = 8$ ?

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Answer 1 · 2018-06-13T09:21:05

$z = - 1$ $z=-1$ or $z = 7$ $z=7$

Draw a line for both $z = - 1$ $z=-1$ and $z = 7$ $z=7$

Add 8 to both sides:
$4 | 3 - z | = 16$ $4abs(3-z)=16$

Divide both sides by 4:
$| 3 - z | = 4$ $abs(3-z)=4$

$\pm (3 - z) = 4$ $+-(3-z)=4$

$3 - z = 4$ $3-z=4$ or $z - 3 = 4$ $z-3=4$

$z = - 1$ $z=-1$ or $z = 7$ $z=7$

How do you graph and solve 4|3−z|−8=84 | 3 - z | - 8 = 8?