Question

Help me solve 0 < 2/x < 3/5


Medal will be given

Answer 1

\[0<\frac 2 x< \frac 35\]
Multiply by x the whole equation.
There is a catch here, we need to check if x is positive or negative
\we have
\[\frac 2 x >0\]
so
\[x>0\]
Now we can multiply the whole equation by x
\[0<2<3x\]
from this we have
\[2<3x\]
Do you get this @Christos?

Answer 2

oops
\[2< \frac {3x}5\]

Answer 3

\[0<\frac{ 2 }{ x }<\frac{ 3 }{ 5 }\]
\[3 x>10\]
\[x>\frac{ 10 }{ 3 }\]

Answer 4

@Christos Do you get this?

Answer 5

Yes thank you all! some_someone can you explain me how did you get from step 1 to step 2? did you multiply x with 3 and 2 with 5 and removed the 0? can you do that?

Answer 6

so you have to get x by itself.

Answer 7

http://www.analyzemath.com/Linear_Inequalities/Linear_Inequalities_Tutor.html

Answer 8

so this 0 > 2/x > 3/5 can be writen like this? 0 > 3x > 10 ? Can I keep the 0 at the left?