Question

solve the inequality and graph the solution on the line provided.
-9 - 3x ≤ 9
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Add 9 to both sides

$$-9 - 3x+9\leq9 + 9$$
$$-3x\leq18$$

Step2: Divide both sides by - 3 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-3x}{-3}\geq\frac{18}{-3}$$
$$x\geq - 6$$

Answer:

Inequality Notation: \(x\geq - 6\)

To graph on the number line: Place a closed circle at \(-6\) (because the inequality is \(\geq\), so \(-6\) is included in the solution set) and draw an arrow to the right (towards the larger numbers) on the number line.