https://file.aiquickdraw.com/mathbot/file/1727035916231js5lu4h5.jpg

Select the values that make the inequality v, is less than, 1v<1 true.

The inequality \( v < 1 \) means we need to select the values that are **strictly less than 1**. Let's go through the options and identify which satisfy this condition:

- **-7**: Yes, since -7 < 1.
- **-4**: Yes, since -4 < 1.
- **-2**: Yes, since -2 < 1.
- **0**: Yes, since 0 < 1.
- **0.9**: Yes, since 0.9 < 1.
- **0.99**: Yes, since 0.99 < 1.
- **0.999**: Yes, since 0.999 < 1.
- **1**: No, since 1 is not less than 1 (it's equal to 1).
- **1.001**: No, since 1.001 > 1.
- **1.01**: No, since 1.01 > 1.
- **1.1**: No, since 1.1 > 1.
- **2**: No, since 2 > 1.
- **4**: No, since 4 > 1.
- **6**: No, since 6 > 1.
- **9**: No, since 9 > 1.

### Correct answers:
- -7, -4, -2, 0, 0.9, 0.99, 0.999

Would you like further details or explanations?

Here are 5 related questions to help deepen your understanding:
1. How does the inequality change if the sign is \( v \leq 1 \) instead of \( v < 1 \)?
2. What happens to the inequality if it's reversed, i.e., \( v > 1 \)?
3. How do you solve inequalities involving absolute values?
4. What is the difference between strict inequalities and non-strict inequalities?
5. Can you graph inequalities on a number line? What does that look like for this example?

**Tip**: Always pay attention to whether an inequality is strict (using \( < \) or \( > \)) or non-strict (using \( \leq \) or \( \geq \)), as it determines whether the boundary value is included in the solution set.

Select the values that make the inequality v < 1 true.

Explore how to select values that satisfy the inequality v < 1. This problem delves into basic algebraic inequalities, helping students understand how to determine values that are strictly less than a given number. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation