Solve 0.2x-0.4<0.3x-1

$$0.2 x - 0.4 < 0.3 x - 1$$

Solve for x

$$x>6$$

Solution Steps

Subtract 0.3x from both sides.

$$0.2x-0.4-0.3x<-1$$

Combine 0.2x and -0.3x to get -0.1x.

$$-0.1x-0.4<-1$$

Add 0.4 to both sides.

$$-0.1x<-1+0.4$$

Add -1 and 0.4 to get -0.6.

$$-0.1x<-0.6$$

Divide both sides by -0.1. Since -0.1 is negative, the inequality direction is changed.

$$x>\frac{-0.6}{-0.1}$$

Expand \frac{-0.6}{-0.1} by multiplying both numerator and the denominator by 10.

$$x>\frac{-6}{-1}$$

Fraction \frac{-6}{-1} can be simplified to 6 by removing the negative sign from both the numerator and the denominator.

$$x>6$$