Solve -2.2x+3.7>1.5x-7.4

$$- 2.2 x + 3.7 > 1.5 x - 7.4$$

Solve for x

$$x<3$$

Solution Steps

Subtract 1.5x from both sides.

$$-2.2x+3.7-1.5x>-7.4$$

Combine -2.2x and -1.5x to get -3.7x.

$$-3.7x+3.7>-7.4$$

Subtract 3.7 from both sides.

$$-3.7x>-7.4-3.7$$

Subtract 3.7 from -7.4 to get -11.1.

$$-3.7x>-11.1$$

Divide both sides by -3.7. Since -3.7 is negative, the inequality direction is changed.

$$x<\frac{-11.1}{-3.7}$$

Expand \frac{-11.1}{-3.7} by multiplying both numerator and the denominator by 10.

$$x<\frac{-111}{-37}$$

Divide -111 by -37 to get 3.

$$x<3$$