Question

What is the solution set for |2x – 3| = 11?

Answer 1

Okay well first do u know what abs value means?

Answer 2

no

Answer 3

Whatever in absolute value is always going to be positive itself.

Answer 4

So:
|-a|=a
|-b|=b, etc.

Answer 5

Now how does that help you?

Answer 6

so its gonna be 2x+3=11?

Answer 7

For solving equations with absolute values there's a very nice rule that might help you out..
\[|a| = b \implies a = b \text{ OR } a = -b\]

So in your example here, what is our 'a' and what is our 'b'?

Answer 8

That and what else?
Keep in mind that whatever inside abs values, can also be negative.

Answer 9

*whatever is inside

Answer 10

You will get 2 equations, that one you have is the first.

The second possibility is that the stuff inside the absolute value equals -11. So solve both equations and you will have your solutions.

Answer 11

so your inside can either be negative 11 or positive 11

Answer 12

see, they don't answer questions. so you go elsewhere, and come back when/if they do.

Answer 13

Smart polpak, let's get out of here

Answer 14

if u were given |x|=10 then
x=-10 or 10
this is because the absolute value turns the final result of anything that is inside it to the positive value.
so when ever u solve an absolute value u have to make 2 equations.
so for this 1 u have to solve for
2x-3=11 and 2x-3=-11
both solutions work because of the absolute value

Answer 15

11+3 isnt 13
and if u put -7 into the equation u wont get the right answer

Answer 16

ok. a bit angry when i wrote it . . lol

Answer 17

I could not disagree more Lambert

Answer 18

I'm with Socrates on this one.

Answer 19

aww polpak i was about to read it..

Answer 20

and give a counter example.. =(

Answer 21

I didn't delete it.

Answer 22

i think he deleted it himself

Answer 23

I think Lambert self censored because he was angry when he wrote it.

Answer 24

oh well im out polpak tnx for ur help again!

Answer 25

fck off bahrom and freaking polpak. all i asked for was an answer. i already solved it and i know how to do it. i just wanted to see what others will get so i could compare answers. so if ur not gonna answer, plz leave. ur not the only ones online

Answer 26

Using the definition of absolute value:\[2x-3=11\]\[2x-3=-11\]Add 3 to both sides\[2x=14\]\[2x=-8\]
Which gives\[x=7\]or\[x=-4\]