Solve 2/3x-1/2leq0

$$\frac { 2 } { 3 } x - \frac { 1 } { 2 } \leq 0$$

Solve for x

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

Solution Steps

Add \frac{1}{2} to both sides. Anything plus zero gives itself.

$$\frac{2}{3}x\leq \frac{1}{2}$$

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

$$x\leq \frac{1}{2}\times \frac{3}{2}$$

Multiply \frac{1}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\leq \frac{1\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 2}.

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