Solve -0.17x+1.93<2.457

$$- 0.17 x + 1.93 < 2.457$$

Solve for x

$$x>-3.1$$

Solution Steps

Subtract 1.93 from both sides.

$$-0.17x<2.457-1.93$$

Subtract 1.93 from 2.457 to get 0.527.

$$-0.17x<0.527$$

Divide both sides by -0.17. Since -0.17 is negative, the inequality direction is changed.

$$x>\frac{0.527}{-0.17}$$

Expand \frac{0.527}{-0.17} by multiplying both numerator and the denominator by 1000.

$$x>\frac{527}{-170}$$

Reduce the fraction \frac{527}{-170} to lowest terms by extracting and canceling out 17.

$$x>-\frac{31}{10}$$