Solve x2/3-3<5

$$x \frac{ 2 }{ 3 } -3 < 5$$

Solve for x

$$x<12$$

Solution Steps

Add 3 to both sides.

$$x\times \frac{2}{3}<5+3$$

Add 5 and 3 to get 8.

$$x\times \frac{2}{3}<8$$

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.

$$x<8\times \frac{3}{2}$$

Express 8\times \frac{3}{2} as a single fraction.

$$x<\frac{8\times 3}{2}$$

Multiply 8 and 3 to get 24.

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

Divide 24 by 2 to get 12.

$$x<12$$