Solve 2/3x+9<18

$$\frac { 2 } { 3 } x + 9 < 18$$

Solve for x

$$x<\frac{27}{2}$$

Solution Steps

Subtract 9 from both sides.

$$\frac{2}{3}x<18-9$$

Subtract 9 from 18 to get 9.

$$\frac{2}{3}x<9$$

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.

$$x<9\times \frac{3}{2}$$

Express 9\times \frac{3}{2} as a single fraction.

$$x<\frac{9\times 3}{2}$$

Multiply 9 and 3 to get 27.

$$x<\frac{27}{2}$$