Question

3x/x+2 > 5

Answer 1

x>-5

Answer 2

isnt it supposed to be < ?

Answer 3

\[\frac{3x}{x+2} >5 ?\]

Answer 4

3x/x+2>5
3x>5x+10
-2x>10
x>-5

Answer 5

i think its x<-5

Answer 6

if x<-5 then suppose x is -6 then substitute and u will get
-18/-4 that is 4.5 which is not greater than 5

Answer 7

since youve divided it with negative.

Answer 8

ya so , 10/-2=-10/2=-5

Answer 9

no!-5 is lesser than -4!

Answer 10

what t tough question @@@@@@@@@@@

Answer 11

its -2>x>-5

Answer 12

that is x should be lesser than -2 but greater than -5 that is it can be -3 or -4

Answer 13

\[\frac{3x}{x+2}-5 > 0 \]
\[\frac{3x}{x+2}-\frac{5(x+2)}{x+2}>0\]
forgot to multiply top to by (x+2) my bad
\[\frac{-2x-10}{x+2} >0\]
undefined at x=-2 and zero at x=5

use these numbers to test around

----|-----|-----
-2 5

You have 3 intervals to check if I have right problem.
lol

Answer 14

or i mean x=-5

Answer 15

myininaya what do u mean by 'You have 3 intervals to check if I have right problem'?

Answer 16

undefined at x=-2 and zero at x=-5

use these numbers to test around

----|-----|-----
-5 -2

You have 3 intervals to check if I have right problem.

Answer 17

well no one ever told me i had the right the problem above

Answer 18

she wrote 3x/x+2>5
not
3x/(x+2)>5

Answer 19

i assumed it was the second because it made more sense

Answer 20

It must be the second, the first one makes no sense.

Answer 21

the other is not possible!

Answer 22

exactly

Answer 23

lol

Answer 24

3x/x=3 so 3+2=5
5>5! not possible!

Answer 25

thats why i assumed the second one

Answer 26

so which one is the correct answer?

Answer 27

My approach, I used the idea that for \( \large \frac{3x}{x+2} \gt 5 \) both the numerator and denominator must be of same sign, these gives me 5 in inequalities, and the intersection of which is \( -5<x<-2 \) and this is the required answer to this problem.

Answer 28

@jesscasama got the answer?

Answer 29

YAH