Solve -3geq4(n+2)+5

$$- 3 \geq 4 ( n + 2 ) + 5$$

Solve for n

$$n\leq -4$$

Solution Steps

Use the distributive property to multiply 4 by n+2.

$$-3\geq 4n+8+5$$

Add 8 and 5 to get 13.

$$-3\geq 4n+13$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$4n+13\leq -3$$

Subtract 13 from both sides.

$$4n\leq -3-13$$

Subtract 13 from -3 to get -16.

$$4n\leq -16$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$n\leq \frac{-16}{4}$$

Divide -16 by 4 to get -4.

$$n\leq -4$$