Question

Solve each absolute value equation or inequality.

1. -3 + |m - 3| = 0

Answer 1

1) Add 3 to both sides.
2) Use the fact that \(|\)f(x)\(|\)=r, can have two solutions, f(x)=\(\pm\)r

Answer 2

m-3=3 ?

Answer 3

yes, or
m-3=-3

Answer 4

if, n-3=3,
then n=?

Answer 5

(I mean, m - not n, but you get the point)

Answer 6

m=6

Answer 7

yes, good

Answer 8

and if
m-3=-3

then, m=?

Answer 9

m=0

Answer 10

So, your two answers/solutions are:

m=0
m=6

Answer 11

ohhh
okay thanks!

Answer 12

Anytime!

Answer 13

Wait how would I do 1 + |5x - 6| = 47

Answer 14

1) Subtract 1 from both side.
This will get you: \(|\)5x-6\(|\)=3

Then, your two solutions are;
5x-6=3 and 5x-6=-3

Answer 15

solve each equation individually and that will give you the two answers.

Answer 16

how did you get 3

Answer 17

oh, 47, I read 4... apologize

Answer 18

oh haha

Answer 19

CORRECTION ***

1) Subtract 1 from both sides.
This will get you: \(|\)5x-6\(|\)=46

Then, your two solutions are;
5x-6=46 and 5x-6=-46

Answer 20

then, solve each equation for x....

Answer 21

alright i see now, thank you!

Answer 22

You are welcome!

Answer 23

@SolomonZelman Hey could you help me on this otherp roblem it's |-4+x| + 7 < 18

Answer 24

You want to isolate absolute value by itself, so what would you do to accomplish this?

Answer 25

hm i'm not sure, i tried subtracting 7 from both sides but that didnt work

Answer 26

subtracting 7 is right ....
what did you get after subtracting 7?

Answer 27

oh wait nvm I didn't even subtract 7, lmao i added 7.. wht was i thinking

Answer 28

okay i got it now

Answer 29

thanks lol

Answer 30

sure\( ; ) \)