Solve -4(x+5)<9

$$- 4 ( x + 5 ) < 9$$

Solve for x

$$x>-\frac{29}{4}$$

Solution Steps

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$x+5>-\frac{9}{4}$$

Subtract 5 from both sides.

$$x>-\frac{9}{4}-5$$

Convert 5 to fraction \frac{20}{4}.

$$x>-\frac{9}{4}-\frac{20}{4}$$

Since -\frac{9}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.

$$x>\frac{-9-20}{4}$$

Subtract 20 from -9 to get -29.

$$x>-\frac{29}{4}$$