Question

tim so nguyen x biet:

1/2-(1/3+3/4)< x < 1/24-(1/8-1/3)

Answer 1

\(\frac{1}{2}-\left(\frac{1}{3}+\frac{3}{4}\right)\le x\le\frac{1}{24}-\left(\frac{1}{8}-\frac{1}{3}\right)\)

\(\Rightarrow\frac{1}{2}-\frac{1}{3}-\frac{3}{4}\le x\le\frac{1}{24}-\frac{1}{8}-\frac{1}{3}\)

\(\Rightarrow\frac{6-4-3}{12}\le x\le\frac{1-3-8}{24}\)

\(\Rightarrow\frac{-1}{12}\le x\le\frac{-10}{24}\)

\(\Rightarrow\frac{-2}{24}\le x\le\frac{-10}{24}\)

\(\Rightarrow-2\le x\le-10\)

\(\Rightarrow x\in\left\{-3;-4;-5;......;-10\right\}\)