Solve 2/3a+8>12

$$\frac{ 2 }{ 3 } a+8 > 12$$

Solve for a

$$a>6$$

Solution Steps

Subtract 8 from both sides.

$$\frac{2}{3}a>12-8$$

Subtract 8 from 12 to get 4.

$$\frac{2}{3}a>4$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.

$$a>4\times \frac{3}{2}$$

Express 4\times \frac{3}{2} as a single fraction.

$$a>\frac{4\times 3}{2}$$

Multiply 4 and 3 to get 12.

$$a>\frac{12}{2}$$

Divide 12 by 2 to get 6.

$$a>6$$