Question

Suppose that |2x-3|≤5. What are the minimum and maximum possible values of |3x-7|?

Answer 1

How do I go on solving this?

Answer 2

Well first we find minimum and maximum possible values of x.

Answer 3

Can you do it ?

Answer 4

@drag0night

Answer 5

i can do it for |2x-3|≤5

Answer 6

x = 4 and x = -1

Answer 7

@math&ing001

Answer 8

Yeah those are the max and min values of x.
- 1 <= x <= 4
-3 <= 3x <= 12
4 <= 3x+7 <= 19

Answer 9

ohh that makes sense!!!

Answer 10

Thank you :D

Answer 11

Welcome =)

Answer 12

i don't know why but my textbook gives the right answer as minimum = 0 and max = 10 @math&ing001

Answer 13

I don't see how that's possible, maybe a mistake.

Answer 14

Oh wait a sec !

Answer 15

It's -7 not +7.
- 1 <= x <= 4
-3 <= 3x <= 12
-10 <= 3x-7 <= 5 <=10
|3x-7|<=10

Answer 16

Ok now everything makes sense. thanks for your time!