https://file.aiquickdraw.com/mathbot/file/1726792844400qxsiq09t.jpg

The statement asks for an inequality describing a quantity \( t \) that is greater than \(-5\) and less than 4. This means we want to express the condition \(-5 < t < 4\), which states that \( t \) is between \(-5\) and 4, not inclusive of the endpoints.

Looking at the answer choices:

- **A.** \(-5 < t > 4\): This is incorrect because it is not a valid mathematical expression. It tries to compare \( t \) with two values incorrectly.
- **B.** \(-5 > t > 4\): This is incorrect because it implies \( t \) is less than \(-5\) and less than 4, which is not the desired condition.
- **C.** \(-5 \leq t \leq 4\): This is incorrect because it implies \( t \) can be equal to \(-5\) and 4, but the problem asks for \( t \) to be strictly between them.
- **D.** \(-5 < t < 4\): This is correct. It matches the description perfectly.
- **E.** \(-5 \leq t \geq 4\): This is incorrect because it suggests \( t \) could be equal to both \(-5\) and greater than 4, which is not possible.

Therefore, the correct answer is **D: \(-5 < t < 4\)**.

Do you have any questions or need further explanation?

Here are 5 follow-up questions for practice:

1. How would you write an inequality for a number \( x \) that is greater than or equal to 2 but less than 8?
2. What does it mean if an inequality uses \( \leq \) instead of \( < \)?
3. Can you graph the solution to the inequality \(-5 < t < 4\)?
4. What is the difference between strict inequalities and non-strict inequalities?
5. How would you solve an inequality like \( 3x + 2 > 8 \)?

**Tip**: When solving inequalities, always remember that flipping the inequality sign is necessary when multiplying or dividing by a negative number!

A quantity t that is greater than -5 and less than 4. Select the correct inequality from the options.

Learn how to express a quantity t that is greater than -5 and less than 4 using inequalities. This problem is suitable for students in Grades 6-8 and covers basic inequality concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation