Answer :
- The inequality $-30 < -5$ means '-30 is less than -5'.
- Option A is true but irrelevant.
- Option B is false.
- Option C is the correct interpretation.
- Option D is false.
- The correct answer is $\boxed{C}$.
### Explanation
1. Understanding the Inequality
We need to interpret the inequality $-30 < -5$. The symbol '$<$' means 'less than'. So, the inequality states that -30 is less than -5.
2. Analyzing the Options
Let's analyze the options:
A. 30 is greater than 5. This is true, but it doesn't relate to the given inequality.
B. 30 is less than minus 5. This is false.
C. Minus 30 is less than minus 5. This is the correct interpretation of the inequality $-30 < -5$.
D. Minus 30 is greater than minus 5. This is false.
3. Conclusion
Therefore, the correct meaning of the statement $-30 < -5$ is that minus 30 is less than minus 5.
### Examples
Understanding inequalities is crucial in many real-life situations, such as comparing temperatures (e.g., -30 degrees Celsius is colder than -5 degrees Celsius), financial debts (e.g., owing 30 dollars is worse than owing 5 dollars), or even in sports to compare scores or rankings. Inequalities help us make informed decisions by understanding relative values.
- Option A is true but irrelevant.
- Option B is false.
- Option C is the correct interpretation.
- Option D is false.
- The correct answer is $\boxed{C}$.
### Explanation
1. Understanding the Inequality
We need to interpret the inequality $-30 < -5$. The symbol '$<$' means 'less than'. So, the inequality states that -30 is less than -5.
2. Analyzing the Options
Let's analyze the options:
A. 30 is greater than 5. This is true, but it doesn't relate to the given inequality.
B. 30 is less than minus 5. This is false.
C. Minus 30 is less than minus 5. This is the correct interpretation of the inequality $-30 < -5$.
D. Minus 30 is greater than minus 5. This is false.
3. Conclusion
Therefore, the correct meaning of the statement $-30 < -5$ is that minus 30 is less than minus 5.
### Examples
Understanding inequalities is crucial in many real-life situations, such as comparing temperatures (e.g., -30 degrees Celsius is colder than -5 degrees Celsius), financial debts (e.g., owing 30 dollars is worse than owing 5 dollars), or even in sports to compare scores or rankings. Inequalities help us make informed decisions by understanding relative values.
