Solve 2x+1/2>7

$$2 x + \frac { 1 } { 2 } > 7$$

Solve for x

$$x>\frac{13}{4}$$

Solution Steps

Subtract \frac{1}{2} from both sides.

$$2x>7-\frac{1}{2}$$

Convert 7 to fraction \frac{14}{2}.

$$2x>\frac{14}{2}-\frac{1}{2}$$

Since \frac{14}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$2x>\frac{14-1}{2}$$

Subtract 1 from 14 to get 13.

$$2x>\frac{13}{2}$$

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

$$x>\frac{\frac{13}{2}}{2}$$

Express \frac{\frac{13}{2}}{2} as a single fraction.

$$x>\frac{13}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x>\frac{13}{4}$$