Question

Which values of x will make the absolute value equation true?

|x – 2| = 6
A.
{–4, –8}
B.
{–4, 8}
C.
{4, 8}
D.
no solution

Answer 1

solve for "x"
keep in mind that |x – 2| really means
+1(x-2)
AND
-1(x-2)

therefore \(\bf |x - 2| = 6 \implies +1(x - 2)=6 1, -1(x - 2)=6 \)
so you'd get 2 values for "x"

Answer 2

-4 , 8

Answer 3

yea thats correct :)