Question

Which value of x is in the solution set of 2|x – 3| < 4?

Answer 1

you won't get one value of x, you'll get set of values.
first, isolate |x-3|, can u ?

Answer 2

Options are 8,0,4,-1

Answer 3

oh, you have options, good!
then just plug in values one by one and see which options satisfy the equation....need help with that ?

Answer 4

But they all worked for me

Answer 5

let me do 1st option for you.
x=8, lets check
2|8 – 3| < 4
2|5|<4
10<4 <------FALSE

Answer 6

I don;t understand what i am doing incorrectly

Answer 7

|x-3|<2
x-3< 2 or x-3<-2
x<5 or x<1
thus x=0

Answer 8

you must know this :
\(|-a|=a\)

Answer 9

So let me try 4
2|x – 3| < 4
2|1|<4
2<4?

Answer 10

correct!
so, you got your answer.....

Answer 11

2<4 is TRUE ,right ?

Answer 12

Oha nd it cant be -1 cause of the | |s

Answer 13

Thank you so much! This makes scene now

Answer 14

it can't be -1 because
2|-1-3|<4
2|-4|<4
2(4)<4
8<4 <----FALSE!

Answer 15

you got how |-4|=4

Answer 16

Right It was throwing me off because of the - I thougfht it was -8<4

Answer 17

Yes your example cleared it up for me

Answer 18

here only thing required was |-a|=a ...remember this!

Answer 19

*nods* Thank you

Answer 20

*bows* welcome ^_^