Solve 1500+2400*a/10geq2460

$$1500 + 2400 \times \frac { a } { 10 } \geq 2460$$

Solve for a

$$a\geq 4$$

Solution Steps

Multiply both sides of the equation by 10. Since 10 is positive, the inequality direction remains the same.

$$15000+2400a\geq 24600$$

Subtract 15000 from both sides.

$$2400a\geq 24600-15000$$

Subtract 15000 from 24600 to get 9600.

$$2400a\geq 9600$$

Divide both sides by 2400. Since 2400 is positive, the inequality direction remains the same.

$$a\geq \frac{9600}{2400}$$

Divide 9600 by 2400 to get 4.

$$a\geq 4$$