To determine which statements are false, we will evaluate each statement one by one:
1. **Statement p**: "2 is a prime number."
- A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. Since 2 meets this definition, **Statement p is true**.
2. **Statement q**: "cos 30° = 1/2."
- The cosine of 30 degrees is actually √3/2, not 1/2. Therefore, **Statement q is false**.
3. **Statement r**: "sec²x + tan²x = 1."
- The correct identity is 1 + tan²x = sec²x. Therefore, this statement is incorrect as written. Hence, **Statement r is false**.
4. **Statement s**: "√7 is an irrational number."
- The square root of 7 cannot be expressed as a fraction of two integers, thus it is indeed an irrational number. Therefore, **Statement s is true**.
5. **Statement u**: "π² is greater than 10."
- The value of π is approximately 3.14, so π² is approximately 9.86, which is less than 10. Thus, **Statement u is false**.
Now, we summarize the truth values of the statements:
- p: True
- q: False
- r: False
- s: True
- u: False
Next, we need to identify which options contain statements that are all false. We will analyze the combinations of these statements:
### Analyzing the Options:
1. **Option A**: p or q
- Since p is true, this option is true.
2. **Option B**: r or s
- Since s is true, this option is true.
3. **Option C**: r or u
- Both r and u are false, so this option is false.
4. **Option D**: p and q
- Since q is false, this option is false.
5. **Option E**: q and s
- Since q is false, this option is false.
6. **Option F**: s and u
- Since u is false, this option is false.
### Conclusion:
The statements which are all false are found in options C, D, E, and F. However, since we are looking for options where all statements are false, we can conclude that the only option that contains statements that are all false is:
**Final Answer**: Options C, D, E, and F contain statements that are false.
