2. The numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4 represent all the integer values represented by an inequality.
a) Write down a possible inequality which represents these values.

b) Are there other inequalities which could represent the same integer values?
If so, write down a possible aiternative.

### a) A possible inequality that represents the integer values -5, -4, -3, -2, -1, 0, 1, 2, 3, 4 is:

\[
-5 \leq x \leq 4
\]

This inequality includes all integers from \(-5\) to \(4\).

---

### b) Yes, there are other inequalities that could represent the same integer values. For instance:

\[
-6 < x < 5
\]

This inequality excludes \(-6\) and \(5\) but includes the integers from \(-5\) to \(4\), which are the same values represented by the original inequality.

---

Would you like more details or have any other questions?

Here are some related questions:
1. Can inequalities represent non-integer values as well?
2. How would you represent integers greater than or equal to -2 and less than 5 using an inequality?
3. What happens if you use a strict inequality (without the equal sign)?
4. Can you represent these values using absolute value notation?
5. How would the solution change if only positive integers were allowed?

**Tip:** When dealing with inequalities, always check if you want to include or exclude boundary values (using \(\leq\) or \(<\)).

The numbers -5, -4, -3, -2, -1, 0, 1, 2, 3, 4 represent all the integer values represented by an inequality. a) Write down a possible inequality which represents these values. b) Are there other inequalities which could represent the same integer values? If so, write down a possible alternative.

Discover how to represent integer values from -5 to 4 using inequalities. This guide explains the core concepts of inequalities, integer representation, and provides alternative inequality forms. Perfect for 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