Solve 3/4x+2/5<0

$$\frac{ 3 }{ 4 } x+ \frac{ 2 }{ 5 } < 0$$

Solve for x

$$x<-\frac{8}{15}$$

Solution Steps

Subtract \frac{2}{5} from both sides. Anything subtracted from zero gives its negation.

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

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.

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

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

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

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

$$x<\frac{-8}{15}$$

Fraction \frac{-8}{15} can be rewritten as -\frac{8}{15} by extracting the negative sign.

$$x<-\frac{8}{15}$$