Question

What is the solution set of |x – 6| = 8?

Answer 1

There are two solutions

Answer 2

yes

Answer 3

Since absolute value takes negative things and makes them positive, this will be true if
x-6 = 8
or if x-6 =-8

Answer 4

\[\qquad\qquad|x-6|=8\]\[\qquad\qquad\qquad\downarrow \]\[(x-6)=8\qquad\text{or} \qquad -(x-6)=8\]\[x-6+6=8+6\qquad\text{or} \qquad -x+6-6=8-6\]\[x=14\qquad\text{or} \qquad -x=2\]\[\qquad \qquad\text{or} \qquad x=-2\]

\[x=\{-2,14\}\]

Answer 5

thanks