Question

Solutions of Inequalities Practice

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Question
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A number line with arrows at both ends ranges from negative 10 to 10 in one unit increments. A hollow circle is marked at negative 5. A line with arrows at both ends goes past negative 10 and 10.
What inequality does the number line show? Use x for the variable.

(1 point)
x

Answer 1

[AI-generated answer — Bot GPT 3.5]

The inequality shown on the number line is x < -5.

Answer 2

Can you show the steps?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Certainly! Here are the steps to determine the inequality shown on the number line:

1. Identify the point at which the hollow circle is marked on the number line. In this case, the hollow circle is marked at -5.

2. Determine the direction of the line with arrows at both ends. Since the line goes past negative 10 and 10, it indicates that the variable x can have any value less than -5.

3. Write the inequality in terms of x using the information from steps 1 and 2. The inequality is x < -5.