Solve 0.75x-1800geq1800*10%

$$0.75 x - 1800 \geq 1800 \times 10 \%$$

Solve for x

$$x\geq 2640$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$0.75x-1800\geq 1800\times \frac{1}{10}$$

Multiply 1800 and \frac{1}{10} to get \frac{1800}{10}.

$$0.75x-1800\geq \frac{1800}{10}$$

Divide 1800 by 10 to get 180.

$$0.75x-1800\geq 180$$

Add 1800 to both sides.

$$0.75x\geq 180+1800$$

Add 180 and 1800 to get 1980.

$$0.75x\geq 1980$$

Divide both sides by 0.75. Since 0.75 is positive, the inequality direction remains the same.

$$x\geq \frac{1980}{0.75}$$

Expand \frac{1980}{0.75} by multiplying both numerator and the denominator by 100.

$$x\geq \frac{198000}{75}$$

Divide 198000 by 75 to get 2640.

$$x\geq 2640$$