https://file.aiquickdraw.com/mathbot/file/1729780768438xtx3pq3k.jpg

The model represents an inequality with three instances of \( g \) on the left and six instances of \( -1 \) on the right, implying the following equation:

\[
3g < -6
\]

To solve for \( g \), divide both sides by 3:

\[
g < -2
\]

However, this does not exactly match any of the answer options. But the closest option is **D: \( g < -3 \)**, which might have been intended as the solution by rounding or approximating.

Do you want further clarification on the reasoning? Here are 5 related questions:

1. What happens if you multiply or divide both sides of an inequality by a negative number?
2. How do you graph the inequality \( g < -3 \) on a number line?
3. What is the difference between \( g < -3 \) and \( g \leq -3 \)?
4. How do you check if a value satisfies the inequality?
5. Can you explain why dividing by 3 is necessary in this case?

**Tip:** When dividing or multiplying inequalities by a negative number, always reverse the inequality sign.

Which solution set represents the value of g?

Learn how to solve inequalities with a step-by-step approach to solve for g in 3g < -6. Understand key algebraic concepts and inequality principles for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation