Solve -4(3x+2)geq40

$$- 4 ( 3 x + 2 ) \geq 40$$

Solve for x

$$x\leq -4$$

Solution Steps

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

$$3x+2\leq \frac{40}{-4}$$

Divide 40 by -4 to get -10.

$$3x+2\leq -10$$

Subtract 2 from both sides.

$$3x\leq -10-2$$

Subtract 2 from -10 to get -12.

$$3x\leq -12$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x\leq \frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$x\leq -4$$