Use the image to answer the question.

Question

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked on the tick line above 4. A line is drawn from 4 toward negative 10 with an arrow at the end.

What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard. explain please

Answer 1

The description you provided indicates that there is an open circle at 4 on the number line, and a line is drawn extending to the left (toward negative 10). Here's how to interpret this:

1. Open Circle at 4: The open circle means that 4 is not included in the solution set. Therefore, we cannot use a "greater than or equal to" (≥) or "less than or equal to" (≤) in the inequality.

2. Line Extending Left: The line that extends toward negative 10 indicates that all values to the left of 4 are included in the solution set. This suggests that any value less than 4 satisfies the inequality.

Putting these two pieces of information together, we can write the inequality as:

\[ x < 4 \]

This means that the solution set includes all values of \( x \) that are less than 4, but not including 4 itself.