Solve 2.4x+3.8>2.9x+1.75

$$2.4 x + 3.8 > 2.9 x + 1.75$$

Solve for x

$$x<4.1$$

Solution Steps

Subtract 2.9x from both sides.

$$2.4x+3.8-2.9x>1.75$$

Combine 2.4x and -2.9x to get -0.5x.

$$-0.5x+3.8>1.75$$

Subtract 3.8 from both sides.

$$-0.5x>1.75-3.8$$

Subtract 3.8 from 1.75 to get -2.05.

$$-0.5x>-2.05$$

Divide both sides by -0.5. Since -0.5 is negative, the inequality direction is changed.

$$x<\frac{-2.05}{-0.5}$$

Expand \frac{-2.05}{-0.5} by multiplying both numerator and the denominator by 100.

$$x<\frac{-205}{-50}$$

Reduce the fraction \frac{-205}{-50} to lowest terms by extracting and canceling out -5.

$$x<\frac{41}{10}$$