Solve 7200+(z-100)*120>8700

$$7200+(z-100) \times 120 > 8700$$

Solve for z

$$z>\frac{225}{2}$$

Solution Steps

Use the distributive property to multiply z-100 by 120.

$$7200+120z-12000>8700$$

Subtract 12000 from 7200 to get -4800.

$$-4800+120z>8700$$

Add 4800 to both sides.

$$120z>8700+4800$$

Add 8700 and 4800 to get 13500.

$$120z>13500$$

Divide both sides by 120. Since 120 is positive, the inequality direction remains the same.

$$z>\frac{13500}{120}$$

Reduce the fraction \frac{13500}{120} to lowest terms by extracting and canceling out 60.

$$z>\frac{225}{2}$$