GParents at Vineland Public Schools test.linkit.com Watch trending videos for you | TikTok JUB 18. Which number line correctly represents the solutions of the inequality -1 > 4w? A. + -7 -6 -5 -4 -3 -2 -1 0 B. + + + -7 -6 -5 -4 -3 -2 0 C. + -1 -0.75 -0.5 -0.25 D. -1 -0.75 -0.5 -0.25 O 0 0 0.25 0.25 -1 0.5 0.75 0.5 0.75 1 1 C AAlgebra 1- Mr. Garriott - E106 Nort 2021-2 18 of 36

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Number Line Representations of Inequalities

**Question 18**: Which number line correctly represents the solutions of the inequality \( -1 > 4w \)?

Here are the options provided:

**Option A**:
- Number line ranging from -7 to 5.
- There's a closed circle at -7 and an arrow pointing to the left, indicating all values less than or equal to -7 are the solutions.

**Option B**:
- Number line ranging from -7 to 2.
- There's an open circle at -1 and an arrow pointing to the right, indicating all values greater than -1 are the solutions.

**Option C**:
- Number line ranging from -5 to 3.
- There's an open circle at -0.25 and an arrow pointing to the left, indicating all values less than -0.25 are the solutions.

**Option D**:
- Number line ranging from -1 to 1.
- There's a closed circle at -0.25 and an arrow pointing to the left, indicating all values less than or equal to -0.25 are the solutions.

Each number line graph visually represents a range of values that satisfy the given inequality. Identifying the correct representation involves solving the inequality \( -1 > 4w \) and determining the appropriate corresponding values on the number line.

**Graph Explanation:**
- **Closed Circle**: The value at the point is included in the solution set (≤ or ≥).
- **Open Circle**: The value at the point is not included in the solution set (< or >).
- **Arrow Direction**: Indicates the range of values extending towards negative or positive infinity.

For educational purposes, this exercise helps students understand how to translate algebraic inequalities into a visual format for better comprehension and analysis.
Transcribed Image Text:### Number Line Representations of Inequalities **Question 18**: Which number line correctly represents the solutions of the inequality \( -1 > 4w \)? Here are the options provided: **Option A**: - Number line ranging from -7 to 5. - There's a closed circle at -7 and an arrow pointing to the left, indicating all values less than or equal to -7 are the solutions. **Option B**: - Number line ranging from -7 to 2. - There's an open circle at -1 and an arrow pointing to the right, indicating all values greater than -1 are the solutions. **Option C**: - Number line ranging from -5 to 3. - There's an open circle at -0.25 and an arrow pointing to the left, indicating all values less than -0.25 are the solutions. **Option D**: - Number line ranging from -1 to 1. - There's a closed circle at -0.25 and an arrow pointing to the left, indicating all values less than or equal to -0.25 are the solutions. Each number line graph visually represents a range of values that satisfy the given inequality. Identifying the correct representation involves solving the inequality \( -1 > 4w \) and determining the appropriate corresponding values on the number line. **Graph Explanation:** - **Closed Circle**: The value at the point is included in the solution set (≤ or ≥). - **Open Circle**: The value at the point is not included in the solution set (< or >). - **Arrow Direction**: Indicates the range of values extending towards negative or positive infinity. For educational purposes, this exercise helps students understand how to translate algebraic inequalities into a visual format for better comprehension and analysis.
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