Convert to Set Notation 1/3<=(x+1)/5<5/2

Cancel the common factor.

Rewrite the expression.

Combine ${\displaystyle \frac{5}{2}}$ and ${\displaystyle 5}$.

Multiply ${\displaystyle 5}$ by ${\displaystyle 5}$.

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 ${\displaystyle \frac{2}{2}}$.

Combine ${\displaystyle -1}$ and ${\displaystyle \frac{2}{2}}$.

Combine the numerators over the common denominator.

Simplify the numerator.