Solve 3/4j-10geq5

$$\frac { 3 } { 4 } j - 10 \geq 5$$

Solve for j

$$j\geq 20$$

Solution Steps

Add 10 to both sides.

$$\frac{3}{4}j\geq 5+10$$

Add 5 and 10 to get 15.

$$\frac{3}{4}j\geq 15$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}. Since \frac{3}{4} is positive, the inequality direction remains the same.

$$j\geq 15\times \frac{4}{3}$$

Express 15\times \frac{4}{3} as a single fraction.

$$j\geq \frac{15\times 4}{3}$$

Multiply 15 and 4 to get 60.

$$j\geq \frac{60}{3}$$

Divide 60 by 3 to get 20.

$$j\geq 20$$