Question

graph ( x leq 5 ).

how do i graph the inequality?

Explanation:

Step1: Identify the critical point

The inequality is \(x\leq5\). The critical point is \(x = 5\). Since the inequality is \(\leq\) (less than or equal to), we use a closed - circle at \(x = 5\). A closed - circle indicates that the value \(x = 5\) is included in the solution set.

Step2: Determine the direction of the graph

The inequality \(x\leq5\) means that \(x\) can take values less than or equal to \(5\). On a number line, we draw an arrow to the left of \(x = 5\) (towards the smaller numbers) to represent all the values of \(x\) that satisfy the inequality.

Answer:

To graph \(x\leq5\), place a closed - circle at \(x = 5\) on the number line and draw an arrow to the left of \(x = 5\).