Answer
$$x \leq 7$$
Work Step by Step
We simplify the inequality first by using the distributive property:
$$3x + 9 \geq (5)(x) + (5)(-1)$$
Multiply out the terms:
$$3x + 9 \geq 5x - 5$$
Subtract $5x$ from each side of the inequality to isolate variables to one side of the inequality:
$$-2x + 9 \geq -5$$
Subtract $9$ from each side of the inequality to isolate constants to the other side of the inequality:
$$-2x \geq -14$$
Divide each side by $-2$ to solve for $x$, but remember that we need to reverse the sign when we divide by a negative number:
$$x \leq 7$$
