Question

What is the solution set of |4x - 3| - 2 > 3?

x < -0.5 or x > 8
x < 0.5 or x > 8
x < -0.5 or x > 2
x < -2 or x > 2

Answer 1

there is mod sign in ur question that means u would have two values of x. to find those values u need 2 equations.. set ur question like this
(4x-3) - 2 > 3 & -(4x-3) - 2 > 3
can u do it from here now?

Answer 2

would i have to add the 2 and get--> 4x-3>5 ? Im not really sure what else i am supposed to do..?

Answer 3

yes, your that step is correct
add 2 to get
4x-3>5 as 1st equation
to solve this, add 3 to both sides,so that you can isolate x

Answer 4

4x>8 ?

Answer 5

yup, so x> ??

Answer 6

divide by 4

Answer 7

|4x - 3| - 2 > 3

if you add two to both sides we have |4x-3| > 5 does not imply 4x-3>5

Answer 8

does it???

Answer 9

it does, its just that u get 2 equation as @nubeer explained, and u need to solve both of them

Answer 10

Oh sorry I was only looking at that one post...

Answer 11

so @badATalgebra
u have 4x>8
divide by 4 on both sides, what u have?

Answer 12

x > 2 ?

Answer 13

yup, thats correct!

Answer 14

now take the 2n equation and try to solve that -(4x-3) - 2 > 3

Answer 15

-4x - 3 > 5
-4x > 8
would this one be -2 then?

Answer 16

nopes. -(4x-3) = -4x + 3

Answer 17

x > -2

Answer 18

-4x + 3 > 5 ?
-4x > 2
x > - .5

Answer 19

remember this tip:
when you multiply or divide by negative quantity , u FLIP the sign
so., -4x>2
gives
x<-0.5
ok?

Answer 20

Hmmm, okay, I get everything else ill just have to remember that. Thanks you really helped me!!

Answer 21

welcome ^_^