Solve 2/5x+1/3x>-44/15

$$\frac{ 2 }{ 5 } x+ \frac{ 1 }{ 3 } x > - \frac{ 44 }{ 15 }$$

Solve for x

$$x>-4$$

Solution Steps

Combine \frac{2}{5}x and \frac{1}{3}x to get \frac{11}{15}x.

$$\frac{11}{15}x>-\frac{44}{15}$$

Multiply both sides by \frac{15}{11}, the reciprocal of \frac{11}{15}. Since \frac{11}{15} is positive, the inequality direction remains the same.

$$x>-\frac{44}{15}\times \frac{15}{11}$$

Multiply -\frac{44}{15} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$x>\frac{-44\times 15}{15\times 11}$$

Cancel out 15 in both numerator and denominator.

$$x>\frac{-44}{11}$$

Divide -44 by 11 to get -4.

$$x>-4$$