Solve 3/2x-1leq10

$$\frac{ 3 }{ 2 } x-1 \leq 10$$

Solve for x

$$x\leq \frac{22}{3}$$

Solution Steps

Add 1 to both sides.

$$\frac{3}{2}x\leq 10+1$$

Add 10 and 1 to get 11.

$$\frac{3}{2}x\leq 11$$

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.

$$x\leq 11\times \frac{2}{3}$$

Express 11\times \frac{2}{3} as a single fraction.

$$x\leq \frac{11\times 2}{3}$$

Multiply 11 and 2 to get 22.

$$x\leq \frac{22}{3}$$