Solve the Inequality for x 1/3<=(x+1)/4<4/5

Cancel the common factor.

Rewrite the expression.

Combine ${\displaystyle \frac{4}{5}}$ and ${\displaystyle 4}$.

Multiply ${\displaystyle 4}$ by ${\displaystyle 4}$.

Subtract ${\displaystyle 1}$ from each section of the inequality because it does not contain the variable we are trying to solve for.

To write ${\displaystyle -1}$ as a fraction with a common denominator, multiply by ${\displaystyle \frac{3}{3}}$.

Combine ${\displaystyle -1}$ and ${\displaystyle \frac{3}{3}}$.

Combine the numerators over the common denominator.

Simplify the numerator.

To write ${\displaystyle -1}$ as a fraction with a common denominator, multiply by ${\displaystyle \frac{5}{5}}$.

Combine ${\displaystyle -1}$ and ${\displaystyle \frac{5}{5}}$.

Combine the numerators over the common denominator.

Simplify the numerator.