Solve 1.5x-1<0.2

$$1.5 x - 1 < 0.2$$

Solve for x

$$x<0.8$$

Solution Steps

Add 1 to both sides.

$$1.5x<0.2+1$$

Add 0.2 and 1 to get 1.2.

$$1.5x<1.2$$

Divide both sides by 1.5. Since 1.5 is positive, the inequality direction remains the same.

$$x<\frac{1.2}{1.5}$$

Expand \frac{1.2}{1.5} by multiplying both numerator and the denominator by 10.

$$x<\frac{12}{15}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$x<\frac{4}{5}$$