Solve 80%xdivxgeq20%

$$80 \% x \div x \geq 20 \%$$

Evaluate (complex solution)

Solution Steps

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{4}{5}x}{x}\geq \frac{20}{100}$$

Cancel out x in both numerator and denominator.

$$\frac{4}{5}\geq \frac{20}{100}$$

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

$$\frac{4}{5}\geq \frac{1}{5}$$

Compare \frac{4}{5} and \frac{1}{5}.

$$\text{true}$$

Solve for x

$$x\neq 0$$

Solution Steps

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{4}{5}x}{x}\geq \frac{20}{100}$$

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

$$\frac{\frac{4}{5}x}{x}\geq \frac{1}{5}$$

The value of the expression \frac{4}{5}xx^{-1} is always positive. Inequality holds for x\in \mathrm{R}.

$$x\in \mathrm{R}$$