Solve 100*90leq30+0.05w

$$100 \cdot 90 \leq 30 + 0.05 w$$

Solve for w

$$w\geq 179400$$

Solution Steps

Multiply 100 and 90 to get 9000.

$$9000\leq 30+0.05w$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$30+0.05w\geq 9000$$

Subtract 30 from both sides.

$$0.05w\geq 9000-30$$

Subtract 30 from 9000 to get 8970.

$$0.05w\geq 8970$$

Divide both sides by 0.05. Since 0.05 is positive, the inequality direction remains the same.

$$w\geq \frac{8970}{0.05}$$

Expand \frac{8970}{0.05} by multiplying both numerator and the denominator by 100.

$$w\geq \frac{897000}{5}$$

Divide 897000 by 5 to get 179400.

$$w\geq 179400$$