Solve 4.8x+49.3<74.5

$$4.8x+49.3 < 74.5$$

Solve for x

$$x<5.25$$

Solution Steps

Subtract 49.3 from both sides.

$$4.8x<74.5-49.3$$

Subtract 49.3 from 74.5 to get 25.2.

$$4.8x<25.2$$

Divide both sides by 4.8. Since 4.8 is positive, the inequality direction remains the same.

$$x<\frac{25.2}{4.8}$$

Expand \frac{25.2}{4.8} by multiplying both numerator and the denominator by 10.

$$x<\frac{252}{48}$$

Reduce the fraction \frac{252}{48} to lowest terms by extracting and canceling out 12.

$$x<\frac{21}{4}$$