Question

How many solutions does the absolute value equation below have?

|x – 3| = 2
A.
three
B.
two
C.
one
D.
no solution

Answer 1

do you know how to solve it?

Answer 2

no

Answer 3

rewrite it as two equations

x-3 = 2 or -(x-3) = 2

Answer 4

now solve each

Answer 5

x = 5 or -x+3=2
-3 -3
-x = -1
x = 1

Answer 6

thank you i got it

Answer 7

sub each back in to check

\[\left| 5-3 \right|=2\]

and
\[\left| 1-3 \right|=2\]

Answer 8

yw