Let's evaluate the inequality \( 2X < 3Y \) by substituting the given values for \( X \) and \( Y \).

Given:
- \( X = 39.45 \)
- \( Y = 22.5 \)

Now, substitute these into the inequality:

\[
2 \times 39.45 < 3 \times 22.5
\]

First, calculate both sides:

\[
2 \times 39.45 = 78.9
\]
\[
3 \times 22.5 = 67.5
\]

Now, compare the two values:

\[
78.9 < 67.5
\]

This is **false** since \( 78.9 \) is not less than \( 67.5 \). Therefore, the inequality does **not** hold true.

Would you like any further details or clarification?

Here are 5 related questions for further exploration:
1. What happens if you reverse the inequality sign?
2. How does changing the value of \( Y \) affect the outcome?
3. Can you find the range of values for \( Y \) where the inequality holds true?
4. What is the solution to \( 2X = 3Y \)?
5. How would the result change if \( X \) and \( Y \) were negative?

**Tip:** Always check both sides of an inequality carefully by substituting values and calculating each side independently.

Learn how to solve the inequality 2X < 3Y by substituting values for X and Y. This problem involves algebraic concepts such as inequalities and linear equations. Discover whether the inequality holds true when X = 39.45 and Y = 22.5. Suitable for 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