Solve x-5/2<24/5

$$\frac { x - 5 } { 2 } < \frac { 24 } { 5 }$$

Solve for x

$$x<\frac{73}{5}$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$x-5<\frac{24}{5}\times 2$$

Express \frac{24}{5}\times 2 as a single fraction.

$$x-5<\frac{24\times 2}{5}$$

Multiply 24 and 2 to get 48.

$$x-5<\frac{48}{5}$$

Add 5 to both sides.

$$x<\frac{48}{5}+5$$

Convert 5 to fraction \frac{25}{5}.

$$x<\frac{48}{5}+\frac{25}{5}$$

Since \frac{48}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$x<\frac{48+25}{5}$$

Add 48 and 25 to get 73.

$$x<\frac{73}{5}$$