Solve 3/2x+4leq10

$$\frac{ 3 }{ 2 } x+4 \leq 10$$

Solve for x

$$x\leq 4$$

Solution Steps

Subtract 4 from both sides.

$$\frac{3}{2}x\leq 10-4$$

Subtract 4 from 10 to get 6.

$$\frac{3}{2}x\leq 6$$

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

$$x\leq 6\times \frac{2}{3}$$

Express 6\times \frac{2}{3} as a single fraction.

$$x\leq \frac{6\times 2}{3}$$

Multiply 6 and 2 to get 12.

$$x\leq \frac{12}{3}$$

Divide 12 by 3 to get 4.

$$x\leq 4$$