Question

NEED HELP! find the largest possible number b for which|x-3| < b implies |9-3x|<0.1

Answer 1

@Solongos Can you convert the |9-3x| into |x-3| ?

Answer 2

times by 3?

Answer 3

no i cant

Answer 4

You're close! pay attention to the sign!

Answer 5

it could be 9+3x or -9-3x right? then divide them by 3

Answer 6

|9-3x| = -3 |x-3|

Answer 7

ohh i wrote the question wrong 1sec

Answer 8

no its right

Answer 9

Given |9-3x| < 0.1
-> -3 |x-3| < .1
Agree?

Answer 10

yes

Answer 11

oh then it will be -.1/3 ?

Answer 12

=> |x-3| > - .1/3
Ok so far?

Answer 13

yes ok so far

Answer 14

no i don't know

Answer 15

making it two different equation ?

Answer 16

3+x<-.1/3 x < -4-.1/3 and -3-x<-.1/3 x>-3+.1/3

Answer 17

ok

Answer 18

x>-.1/3+3 that is x>2.96667 and x<.1/3+3 that is x<3.03333

Answer 19

they both says they are wrong on my web homework

Answer 20

largest possible number would be 3.03333 right?

Answer 21

.1/3+3= .1/3+9/3=9.1/3 right? and that is 3.03333333333333

Answer 22

it says that is not the right answer on my we homework. we must have did something wrong

Answer 23

Hold on, you don't have to get rid of absolute value :)

Answer 24

3b?

Answer 25

3.1!!!

Answer 26

.1/-3!!!

Answer 27

perfect it was very simple

Answer 28

that was the right answer!! thank you

Answer 29

i have one last question can you help me?

Answer 30

I'm glad it's simple :)

Answer 31

Just open the new post per question :)

Answer 32

ok