Question

how to solve, math test tomorrow, plz help
|x-8|=4
thanks!

Answer 1

http://www.tiger-algebra.com/drill/abs%28x-8%29=4/

Answer 2

thanks

Answer 3

it should only have one solution

Answer 4

so you're going to use that calculator tomorrow ?

Answer 5

what calculator?

Answer 6

tiger website or whatever that is

Answer 7

lets start solving for x

Answer 8

the website came with an explanation

Answer 9

no, it doesn't give the correct answer

Answer 10

woops. I didnt really read that thing thoroughly

Answer 11

absolute value \[a=\left| c \right|\]
has two solution a=c AND a=-c
\[ \left| a-b \right|=c\]
would be a-b=c AND a-b=-c

Answer 12

good thing that was caught

Answer 13

ok, cool, thanks!

Answer 14

when we remove the absolute bar we should get two equations
a-b=c and a-b=-c
and if the right side is negative then you can't solve \[\rm \left| a-b \right|=-c\]
that means there is no solution

Answer 15

Ok, thanks!

Answer 16

do you know why we get two equations ?
remember if you take absolute bar of negative number u will get positive answer
I-xI= x
so we don't know if the a-b is negative or positive that's why we should
write it as a-b=c and a-b=-c after removing the bars

Answer 17

np

Answer 18

what do I do if <= is the case?

Answer 19

do you mean inequalities ??
if yes then that's almost the same
but for negative one you should flip the sign
like \[\rm \left| a-b \right| \ge c \] would be \[\rm a-b \ge c ~or~ a-b \le -c\]