Solve 1.25x+0.85-2.45x<8.65

$$1.25 x + 0.85 - 2.45 x < 8.65$$

Solve for x

$$x>-6.5$$

Solution Steps

Combine 1.25x and -2.45x to get -1.2x.

$$-1.2x+0.85<8.65$$

Subtract 0.85 from both sides.

$$-1.2x<8.65-0.85$$

Subtract 0.85 from 8.65 to get 7.8.

$$-1.2x<7.8$$

Divide both sides by -1.2. Since -1.2 is negative, the inequality direction is changed.

$$x>\frac{7.8}{-1.2}$$

Expand \frac{7.8}{-1.2} by multiplying both numerator and the denominator by 10.

$$x>\frac{78}{-12}$$

Reduce the fraction \frac{78}{-12} to lowest terms by extracting and canceling out 6.

$$x>-\frac{13}{2}$$