Solve 0.8+0.35x<0.5

$$0.8 + 0.35 x < 0.5$$

Solve for x

$$x<-\frac{6}{7}$$

Solution Steps

Subtract 0.8 from both sides.

$$0.35x<0.5-0.8$$

Subtract 0.8 from 0.5 to get -0.3.

$$0.35x<-0.3$$

Divide both sides by 0.35. Since 0.35 is positive, the inequality direction remains the same.

$$x<\frac{-0.3}{0.35}$$

Expand \frac{-0.3}{0.35} by multiplying both numerator and the denominator by 100.

$$x<\frac{-30}{35}$$

Reduce the fraction \frac{-30}{35} to lowest terms by extracting and canceling out 5.

$$x<-\frac{6}{7}$$