Question

find what they did wrong and correct
|x-3| =-2
x-3=-2 or x-3=2
x=1 or x=5

Answer 1

do u think you can help

Answer 2

yes

Answer 3

so you think there is any mistake there ?

Answer 4

I just don't know what they did wrong

Answer 5

i know there is a mistake because in my math book it says to correct this

Answer 6

ok, so lets verify!
they got x=1 and x=5
right ?

put x=1 in original equation |x-3| = -2
what u get ?

Answer 7

-2

Answer 8

where -2 ? on left or on right ?

Answer 9

no like if i minus 1-3 it equals -2

Answer 10

so,
|1-3| = |-2| = ... ?

Answer 11

yes.... or is it 2

Answer 12

it is 2

because |...| makes negative sign go away
ex: |-4| =4 , |-100| =100 ....

Answer 13

and does 2= -2 ??

Answer 14

yes or no ?

Answer 15

yes

Answer 16

right...

Answer 17

no, -2 is NOT = 2
so false,
so 1 is NOT the solution
got this ?

Answer 18

oh so its extraneous..

Answer 19

yes!
the steps shown are correct, but what they did wrong is that they forgot to check for extraneous solutions!

Answer 20

oohhh ok I get it thanks so much!!

Answer 21

welcome ^_^