50+ The Basics worksheets for 9th Grade on Quizizz | Free & Printable - Free Printable

Problem Analysis:

The task involves interpreting number line graphs to determine the correct inequalities and selecting the appropriate graph for given inequalities. Let's solve each question step by step.

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Question 1:

Select the correct inequality of the graph.

The graph shows a closed circle at \(-1\) and shading to the right of \(-1\). This indicates that \(-1\) is included in the solution set, and all numbers greater than \(-1\) are also part of the solution.

- Correct Answer: \( x \geq -1 \) (Option D)

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Question 2:

Select the correct inequality of the graph.

The graph shows a closed circle at \(4\) and shading to the left of \(4\). This indicates that \(4\) is included in the solution set, and all numbers less than \(4\) are also part of the solution.

- Correct Answer: \( x \leq 4 \) (Option D)

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Question 3:

Select the correct inequality of the graph.

The graph shows an open circle at \(1\) and shading to the left of \(1\). This indicates that \(1\) is not included in the solution set, and all numbers less than \(1\) are part of the solution.

- Correct Answer: \( x < 1 \) (Option A)

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Question 4:

Select the correct inequality.

The graph shows a closed circle at \(-3\) and shading to the left of \(-3\). This indicates that \(-3\) is included in the solution set, and all numbers less than \(-3\) are also part of the solution.

- Correct Answer: \( x \leq -3 \) (Option C)

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Question 5:

Select the correct graph for the inequality \( x > 4 \).

The inequality \( x > 4 \) means that \(4\) is not included in the solution set, and all numbers greater than \(4\) are part of the solution. The correct graph should have an open circle at \(4\) and shading to the right.

- Correct Answer: Option B

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Question 6:

Select the correct graph for the inequality \( x \leq -2 \).

The inequality \( x \leq -2 \) means that \(-2\) is included in the solution set, and all numbers less than \(-2\) are part of the solution. The correct graph should have a closed circle at \(-2\) and shading to the left.

- Correct Answer: Option B

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Question 7:

Order the integers from least to greatest.

This question is incomplete as it does not provide any integers to order. Please provide the integers for this question so that I can assist further.

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Final Answers:

1. \( \boxed{D} \)
2. \( \boxed{D} \)
3. \( \boxed{A} \)
4. \( \boxed{C} \)
5. \( \boxed{B} \)
6. \( \boxed{B} \)
7. (Incomplete; please provide integers.)

If you have any more questions or need further clarification, feel free to ask!