Solve 60000+150left(a-1000right)geq75000

$$60000+150 \left( a-1000 \right) \geq 75000$$

Solve for a

$$a\geq 1100$$

Solution Steps

Use the distributive property to multiply 150 by a-1000.

$$60000+150a-150000\geq 75000$$

Subtract 150000 from 60000 to get -90000.

$$-90000+150a\geq 75000$$

Add 90000 to both sides.

$$150a\geq 75000+90000$$

Add 75000 and 90000 to get 165000.

$$150a\geq 165000$$

Divide both sides by 150. Since 150 is positive, the inequality direction remains the same.

$$a\geq \frac{165000}{150}$$

Divide 165000 by 150 to get 1100.

$$a\geq 1100$$