Solve -4/5geq2/3x

$$- \frac{ 4 }{ 5 } \geq \frac{ 2 }{ 3 } x$$

Solve for x

$$x\leq -\frac{6}{5}$$

Solution Steps

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.

$$-\frac{4}{5}\times \frac{3}{2}\geq x$$

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

$$\frac{-4\times 3}{5\times 2}\geq x$$

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

$$\frac{-12}{10}\geq x$$

Reduce the fraction \frac{-12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{6}{5}\geq x$$

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

$$x\leq -\frac{6}{5}$$