Find all real numbers $x$ such that $3x - 7 / le 5x + 9$. give your answer as an interval.

We want to solve the inequality

3x - 7 ≤ 5x + 9

Subtract 3xfrm each side.

-7 ≤ 2x + 9

Subtract 9 from each side.

-16 ≤ 2x

Divide each side by 2.

-8 ≤ x

Multiply each side by - 1.

8 ≥ x

Therefore - ∞ < x ≤ 8 or x = (-∞, 8]

Answer: x = (-∞, 8]