Solve 1.75+0.65x<10

$$1.75+0.65x < 10$$

Solve for x

$$x<\frac{165}{13}$$

Solution Steps

Subtract 1.75 from both sides.

$$0.65x<10-1.75$$

Subtract 1.75 from 10 to get 8.25.

$$0.65x<8.25$$

Divide both sides by 0.65. Since 0.65 is positive, the inequality direction remains the same.

$$x<\frac{8.25}{0.65}$$

Expand \frac{8.25}{0.65} by multiplying both numerator and the denominator by 100.

$$x<\frac{825}{65}$$

Reduce the fraction \frac{825}{65} to lowest terms by extracting and canceling out 5.

$$x<\frac{165}{13}$$