Solve 3/4xleq5/2

$$\frac { 3 } { 4 } x \leq \frac { 5 } { 2 }$$

Solve for x

$$x\leq \frac{10}{3}$$

Solution Steps

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}. Since \frac{3}{4} is positive, the inequality direction remains the same.

$$x\leq \frac{5}{2}\times \frac{4}{3}$$

Multiply \frac{5}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x\leq \frac{5\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{5\times 4}{2\times 3}.

$$x\leq \frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$x\leq \frac{10}{3}$$