Question

part b) answer true or false to the following questions.
can she bring 3 books home? 4 books? 5 books home?
write inequality modeling this.
3 books : choose your answer...
4 books : choose your answer...
false
true

Explanation:

To determine if she can bring 3, 4, or 5 books home, we need to know the constraint (e.g., weight limit, bag capacity). Assuming a common scenario where the maximum number of books she can carry is, say, 4 (a typical assumption if not given, but since we need to model the inequality, let's assume the maximum is \( n \), and we'll define the inequality. Let \( x \) be the number of books. If we assume she can carry at most 4 books (a common case, but we need to define the inequality). Wait, the problem is incomplete as we don't have the constraint (like total weight, bag size, etc.). But since it's a math problem (subfield: Algebra, as we deal with inequalities), let's assume the constraint is, for example, if the maximum number of books she can carry is 4 (a common example). Then:

Step1: Define the variable

Let \( x \) be the number of books she brings home.

Step2: Write the inequality

Assume the maximum number of books she can carry is 4 (since 4 is an option). Then the inequality is \( x \leq 4 \).

Now, check for 3 books: \( 3 \leq 4 \), so True.

For 4 books: \( 4 \leq 4 \), so True.

For 5 books: \( 5 \leq 4 \), so False.

But since the problem is about writing the inequality and answering true/false, we need to model it.

Answer:

Assuming the maximum number of books she can carry is 4 (a common constraint if not given), the inequality is \( x \leq 4 \), where \( x \) is the number of books.

• 3 books: True (since \( 3 \leq 4 \))
• 4 books: True (since \( 4 \leq 4 \))
• 5 books: False (since \( 5

ot\leq 4 \))