Question

solve the inequality and graph the solution.
a - 2 ≤ 4
plot the endpoints, select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable a.

Add 2 to both sides of the inequality \(a - 2\leq4\). We get \(a- 2+2\leq4 + 2\), which simplifies to \(a\leq6\).

Step2: Graph the solution.

On the number - line, plot a closed circle at 6 (since the inequality is \(\leq\), the endpoint is included) and shade to the left of 6 to represent all the values of a that satisfy the inequality.

Answer:

The solution of the inequality is \(a\leq6\). On the number - line, there is a closed circle at 6 and the line is shaded to the left.