Question

how do i graph the inequality? graph x <= 5. switch direction make circle open

Explanation:

Step1: Identify the boundary point

The inequality is $x\leq5$, so the boundary - point is $x = 5$.

Step2: Determine the type of the boundary - point

Since the inequality is $\leq$, we use a closed circle at $x = 5$ on the number line.

Step3: Determine the direction of the graph

The values of $x$ that satisfy the inequality are less than or equal to 5. So, we draw an arrow to the left of the point $x = 5$ on the number line.

Answer:

1. Locate 5 on the number line.
2. Place a closed (filled - in) circle at 5.
3. Draw an arrow to the left of 5 to represent all values of $x$ such that $x\leq5$.