## deboragranja Group Title What is the solution set for |–2x + 16| – 9 = –3 one year ago one year ago

1. Compassionate Group Title

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

2. deboragranja Group Title

x=11

3. Compassionate Group Title

There you go ;)

4. deboragranja Group Title

thats the answer to the entire thing?

5. genius12 Group Title

6. deboragranja Group Title

11 and -11 right?

7. genius12 Group Title

nope.

8. Compassionate Group Title

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

9. deboragranja Group Title

okay help me idk why

10. genius12 Group Title

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

11. genius12 Group Title

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.

12. deboragranja Group Title

ohhhhh okay thank you i get it.