Question

mr. brown is splitting his students into groups to give presentations about novels they read. he wants each group to have 4 students. there are fewer than 24 students in class today, so mr. brown cant make as many full groups as he had planned. let x represent how many full groups mr. brown can make. which inequality describes the problem? 4x < 24; 4x > 24. solve the inequality. then, complete the sentence to describe the solution. mr. brown can make fewer tha sic full groups.

Explanation:

Part 1: Choosing the Correct Inequality

Each group has 4 students, and \( x \) is the number of full groups. So the total number of students in full groups is \( 4x \). The problem states there are fewer than 24 students, meaning \( 4x < 24 \). The other inequality \( 4x > 24 \) would mean more than 24 students, which contradicts the problem.

Step 1: Isolate \( x \)

To solve \( 4x < 24 \), divide both sides by 4.
\( \frac{4x}{4} < \frac{24}{4} \)

Step 2: Simplify

Simplifying both sides gives \( x < 6 \).

Answer:

\( 4x < 24 \)

Part 2: Solving the Inequality