Question

can you help me solve: |x| < 2?
A. x < 2
B. -2 < x < 2
C. x > -2
D. x < 0

Answer 1

change
|x| < 2
to two problems:

x < 2
and
-x < 2

the first problem is done: x<2 is part of the answer

for
-x< 2
add +x to both sides
-x+x < x + 2
or
0 < x + 2
now add -2 to both sides
-2 < x

that is the other part of the answer

Answer 2

thank you

Answer 3

you can also graph it to see what is going on... where is the graph of y = |x| < 2? That is, for what values of x will |x| < 2?