Solve 240+0.6x<144x+144

$$240 + 0.6 x < 144 x + 144$$

Solve for x

$$x>\frac{160}{239}$$

Solution Steps

Subtract 144x from both sides.

$$240+0.6x-144x<144$$

Combine 0.6x and -144x to get -143.4x.

$$240-143.4x<144$$

Subtract 240 from both sides.

$$-143.4x<144-240$$

Subtract 240 from 144 to get -96.

$$-143.4x<-96$$

Divide both sides by -143.4. Since -143.4 is negative, the inequality direction is changed.

$$x>\frac{-96}{-143.4}$$

Expand \frac{-96}{-143.4} by multiplying both numerator and the denominator by 10.

$$x>\frac{-960}{-1434}$$

Reduce the fraction \frac{-960}{-1434} to lowest terms by extracting and canceling out -6.

$$x>\frac{160}{239}$$