Question

What is the solution set for |–2x + 16| – 9 = –3

Answer 1

Hello, you first want to solve the equation for x. Can you do that for me, hun?

Answer 2

x=11

Answer 3

There you go ;)

Answer 4

thats the answer to the entire thing?

Answer 5

nope there is 2 answers.

Answer 6

11 and -11 right?

Answer 7

nope.

Answer 8

No. It's actually 11 and 5. Do you know why?

Answer 9

okay help me idk why

Answer 10

\[\bf |-2x+16|=6 \implies -2x+16=6 \ or \ -2x+16=-6\]

Answer 11

You have to cases to solve for. Since it's an absolute value, the answer could be +6 or -6 but either way it would come out as 6. So we consider both cases and solve for x in each case. We get x = 5 and x = 11.

Answer 12

ohhhhh okay thank you i get it.