Solve 0.8x+168<0.95x

$$0.8 x + 168 < 0.95 x$$

Solve for x

$$x>1120$$

Solution Steps

Subtract 0.95x from both sides.

$$0.8x+168-0.95x<0$$

Combine 0.8x and -0.95x to get -0.15x.

$$-0.15x+168<0$$

Subtract 168 from both sides. Anything subtracted from zero gives its negation.

$$-0.15x<-168$$

Divide both sides by -0.15. Since -0.15 is negative, the inequality direction is changed.

$$x>\frac{-168}{-0.15}$$

Expand \frac{-168}{-0.15} by multiplying both numerator and the denominator by 100.

$$x>\frac{-16800}{-15}$$

Divide -16800 by -15 to get 1120.

$$x>1120$$