Question

1. a number line shows an open circle at 6 with shading to the left. write an inequality sentence to show what the number line represents.

Explanation:

Step1: Analyze the open - circle

An open circle at a number on the number line means that the number is not included in the solution set. So, if the open circle is at \(x = 6\), then \(x
eq6\).

Step2: Analyze the direction of shading

Shading to the left on a number line means that the values of \(x\) are less than the number at the open - circle. Since the open - circle is at \(6\), the inequality is \(x<6\).

Answer:

\(x < 6\)