Question

Solve |x- 4| = 6.

O A. x = -10 and x = -2
OB. x =
-
-10 and x = 2
OC. a 10 and x = -2
-
OD. x 10 and x = -10

Answer 1

`x=10\,\,\,\text{and}\,\,\,x=-2`

Explanation:

`|x-4|=6\\\\x-4=6\,\,\,\text{and}\,\,\,x-4=-6\\\\x=10\,\,\,\text{and}\,\,\,x=-2`

Make sure to always create two equations when solving an absolute value equation!