Solve 0.2x>0.5x+1

$$0.2 x > 0.5 x + 1$$

Solve for x

$$x<-\frac{10}{3}$$

Solution Steps

Subtract 0.5x from both sides.

$$0.2x-0.5x>1$$

Combine 0.2x and -0.5x to get -0.3x.

$$-0.3x>1$$

Divide both sides by -0.3. Since -0.3 is negative, the inequality direction is changed.

$$x<\frac{1}{-0.3}$$

Expand \frac{1}{-0.3} by multiplying both numerator and the denominator by 10.

$$x<\frac{10}{-3}$$

Fraction \frac{10}{-3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$x<-\frac{10}{3}$$