Question

Solve the inequality 0<2/x<3/5

Answer 1

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

Answer 2

the \(0<\frac{2}{x}\) part tells you that for sure \(x>0\) otherwise \(\frac{2}{x}\) would be negative
now lets look at \(\frac{2}{x}<\frac{3}{5}\)

Answer 3

solve
\[\frac{2}{x}<\frac{3}{5}\] by taking the reciprocal, and changing the inequality
that turns in to
\[\frac{x}{2}>\frac{5}{3}\] which you solve in one step by multiplying by \(2\)

Answer 4

Thank you so much!!!

Answer 5

yw