Question

1.5 solving inequalities preview draw a graph for each inequality. 5) x < 6

Explanation:

Step1: Identify the boundary point

The boundary point for the inequality $x < 6$ is $x = 6$.

Step2: Determine the type of circle

Since the inequality is $x<6$ (strict - less than), we use an open - circle at $x = 6$ on the number line.

Step3: Shade the appropriate region

We shade the region to the left of $x = 6$ because values of $x$ that are less than 6 are in the solution set.

On the given number line, place an open - circle at the point labeled 6 and shade all the points to the left of 6.

Answer:

Place an open - circle at 6 on the number line and shade the line to the left of 6.