Question

• 3x - (2x + 6) ≤ 9

Explanation:

Step1: Simplify the left side

First, distribute the negative sign to the terms inside the parentheses: $-3x - 2x - 6 \leq 9$. Then combine like terms: $-5x - 6 \leq 9$.

Step2: Isolate the variable term

Add 6 to both sides of the inequality: $-5x - 6 + 6 \leq 9 + 6$, which simplifies to $-5x \leq 15$.

Step3: Solve for x

Divide both sides by -5. Remember that when dividing or multiplying an inequality by a negative number, the direction of the inequality sign changes. So we get $x \geq -3$.

Answer:

$x \geq -3$