Solve 210<x150%

$$210 < x 150 \%$$

Solve for x

$$x>140$$

Solution Steps

Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.

$$210<x\times \frac{3}{2}$$

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

$$x\times \frac{3}{2}>210$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}. Since \frac{3}{2} is positive, the inequality direction remains the same.

$$x>210\times \frac{2}{3}$$

Express 210\times \frac{2}{3} as a single fraction.

$$x>\frac{210\times 2}{3}$$

Multiply 210 and 2 to get 420.

$$x>\frac{420}{3}$$

Divide 420 by 3 to get 140.

$$x>140$$