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Answer :
To understand the statement [tex]\(-30 < -5\)[/tex], we need to interpret what it means. Let's break it down step by step:
1. Understanding the Symbols: The symbol "<" means "is less than." So, when we see [tex]\(-30 < -5\)[/tex], it is read as "minus 30 is less than minus 5."
2. Comparing Negative Numbers: With negative numbers, it's important to remember that the number with the smaller absolute value is actually greater. This is because negative numbers are less the more negative they are, meaning that of two negative numbers, the one closer to zero is the larger one.
3. Applying to the Numbers: Looking at [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex]:
- [tex]\(-30\)[/tex] is further away from zero than [tex]\(-5\)[/tex],
- Therefore, [tex]\(-30\)[/tex] is actually smaller than [tex]\(-5\)[/tex].
4. Conclusion: So, [tex]\(-30 < -5\)[/tex] means minus 30 is indeed less than minus 5.
Now, let's match this understanding with the given options:
- Option A: "30 is greater than 5" – This is not relevant to the original statement because it talks about positive numbers.
- Option B: "30 is less than minus 5" – This is incorrect because it suggests comparing a positive and a negative number that's not related to the statement.
- Option C: "Minus 30 is less than minus 5" – This accurately describes the statement [tex]\(-30 < -5\)[/tex].
- Option D: "Minus 30 is greater than minus 5" – This is incorrect because it contradicts the meaning of "<".
Therefore, the correct choice is Option C: Minus 30 is less than minus 5.
1. Understanding the Symbols: The symbol "<" means "is less than." So, when we see [tex]\(-30 < -5\)[/tex], it is read as "minus 30 is less than minus 5."
2. Comparing Negative Numbers: With negative numbers, it's important to remember that the number with the smaller absolute value is actually greater. This is because negative numbers are less the more negative they are, meaning that of two negative numbers, the one closer to zero is the larger one.
3. Applying to the Numbers: Looking at [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex]:
- [tex]\(-30\)[/tex] is further away from zero than [tex]\(-5\)[/tex],
- Therefore, [tex]\(-30\)[/tex] is actually smaller than [tex]\(-5\)[/tex].
4. Conclusion: So, [tex]\(-30 < -5\)[/tex] means minus 30 is indeed less than minus 5.
Now, let's match this understanding with the given options:
- Option A: "30 is greater than 5" – This is not relevant to the original statement because it talks about positive numbers.
- Option B: "30 is less than minus 5" – This is incorrect because it suggests comparing a positive and a negative number that's not related to the statement.
- Option C: "Minus 30 is less than minus 5" – This accurately describes the statement [tex]\(-30 < -5\)[/tex].
- Option D: "Minus 30 is greater than minus 5" – This is incorrect because it contradicts the meaning of "<".
Therefore, the correct choice is Option C: Minus 30 is less than minus 5.
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