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Determine whether each number is a solution of an inequality

The inequality in the image is \( 2m < 4 \).

To determine whether a number is a solution to this inequality, let's solve it step by step.

### Solve for \( m \):

\[
2m < 4
\]

1. Divide both sides by 2:

\[
m < \frac{4}{2}
\]

\[
m < 2
\]

### Conclusion:
Any number less than 2 is a solution to the inequality \( 2m < 4 \). 

For example, \( m = 1 \) or \( m = 0 \) would satisfy the inequality, while \( m = 2 \) or greater would not.

Would you like to check specific numbers, or have any further questions?

Here are 5 related questions to expand on this:

1. What happens when the inequality is reversed, like \( 2m > 4 \)?
2. How would you handle the inequality if the coefficient of \( m \) was negative, like \( -2m < 4 \)?
3. Can you represent the solution of the inequality on a number line?
4. What is the difference between a strict inequality \( < \) and a non-strict inequality \( \leq \)?
5. How do we test if specific values of \( m \) are solutions to this inequality?

**Tip:** When dividing or multiplying by a negative number in an inequality, remember to reverse the inequality sign!

Explore how to solve the inequality 2m < 4 with a detailed step-by-step solution. This problem covers fundamental algebraic concepts related to inequalities, including key methods and properties. Suitable for students in Grades 6-8.

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