Question

How do i solve |2x+3|=9 when there is supposed to be two solutions?

Answer 1

first consider: 2x +3 = 9
2x = 9-3
2x = 6
x = 3
then also consider: 2x + 3 = -9
2x = -12
x = -6

Answer 2

Thank you

Answer 3

How about |x|=4?

Answer 4

also consider two cases:
x = 4 and x = -4

Answer 5

in general,
|x| = x, if x > 0
|x| = -x, if x < 0

Answer 6

that's why you must consider these two cases, because you don't know what x is