Equations Question 7

What are the real solutions to the equation $|1-2x|=3$ ?

x=-1

only

x=-1

and

x=-2

x=-1

and

x=1

x=-1

and

x=2

x=1

and

x=-2

Approach 1

$|-3| \text{ and } |3|$ both equal $3$ , so

1-2x=3

-2x=2

x=-1

1-2x=-3

-2x=-4

x=2

x=-1 \text{ and } x=2

Approach 2

Plug in the answer choices.