Solve 225-x-150geq150*20%

$$225-x-150 \geq 150 \cdot 20 \%$$

Solve for x

$$x\leq 45$$

Solution Steps

Subtract 150 from 225 to get 75.

$$75-x\geq 150\times \frac{20}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$75-x\geq 150\times \frac{1}{5}$$

Multiply 150 and \frac{1}{5} to get \frac{150}{5}.

$$75-x\geq \frac{150}{5}$$

Divide 150 by 5 to get 30.

$$75-x\geq 30$$

Subtract 75 from both sides.

$$-x\geq 30-75$$

Subtract 75 from 30 to get -45.

$$-x\geq -45$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$x\leq \frac{-45}{-1}$$

Fraction \frac{-45}{-1} can be simplified to 45 by removing the negative sign from both the numerator and the denominator.

$$x\leq 45$$