Question

solve the inequality and graph the solution on the line provided.
-6x + 2 ≤ -16
answer attempt 1 out of 5
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 2 from both sides

$$\begin{align*} -6x+2 - 2&\leq -16 - 2\\ -6x&\leq -18 \end{align*}$$

Step2: Divide both sides by -6 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.

$$\begin{align*} \frac{-6x}{-6}&\geq\frac{-18}{-6}\\ x&\geq 3 \end{align*}$$

Answer:

Inequality Notation: \(x\geq3\)

For the number - line: Place a closed - circle at \(x = 3\) (because the inequality includes equality, i.e., \(x\) can be 3) and shade to the right of 3 (since \(x\) is greater than or equal to 3).