Question

solve for $x$ and graph the solution on the number line below.
$x - 6 \leq 2$
answer attempt 1 out of 2
inequality notation:
number line

Explanation:

Step1: Solve the inequality

Add \(6\) to both sides of \(x - 6\leqslant2\).
\(x-6 + 6\leqslant2 + 6\)
\(x\leqslant8\)

Step2: Graph the solution on the number - line

Since \(x\leqslant8\), we use a closed circle at \(8\) (because \(x = 8\) is included in the solution set) and draw an arrow to the left (towards the smaller numbers).

Answer:

Inequality Notation: \(x\leqslant8\)
For the number - line: Place a closed circle at \(8\) and draw an arrow to the left.