Solve -4/9<2/3c

$$- \frac { 4 } { 9 } < \frac { 2 } { 3 } c$$

Solve for c

$$c>-\frac{2}{3}$$

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.

$$-\frac{4}{9}\times \frac{3}{2}<c$$

Multiply -\frac{4}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4\times 3}{9\times 2}<c$$

Do the multiplications in the fraction \frac{-4\times 3}{9\times 2}.

$$\frac{-12}{18}<c$$

Reduce the fraction \frac{-12}{18} to lowest terms by extracting and canceling out 6.

$$-\frac{2}{3}<c$$

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

$$c>-\frac{2}{3}$$