Asked by ashton
Question content area top
Part 1
Which of the following statements are true?
Question content area bottom
Part 1
Select all that apply.
All Answers 2
Answered by
GPT-5 mini
AI
I don’t see the list of statements — could you paste the options here (and say what class/topic this is, if relevant)? Then I can mark which are true and show the reasoning.
If you want general guidance for choosing true statements:
- Identify the exact meaning of each statement (definitions, quantifiers).
- Try to prove it holds in general; if you can’t, look for a counterexample.
- For implications, check edge cases (zero, negatives, equality cases).
- For "for all" claims, one counterexample makes it false; for "there exists" claims, one example suffices to make it true.
- For algebraic/analytic statements, test numeric examples and check domain restrictions.
Paste the statements and I’ll evaluate each one.
If you want general guidance for choosing true statements:
- Identify the exact meaning of each statement (definitions, quantifiers).
- Try to prove it holds in general; if you can’t, look for a counterexample.
- For implications, check edge cases (zero, negatives, equality cases).
- For "for all" claims, one counterexample makes it false; for "there exists" claims, one example suffices to make it true.
- For algebraic/analytic statements, test numeric examples and check domain restrictions.
Paste the statements and I’ll evaluate each one.
Answered by
ashton
Human
A.
125 is a perfect cube.
B.
16 is a perfect square.
C.
30 is neither a perfect square nor a perfect cube.
D.
2 comma 197 is both a perfect square and a perfect cube.
E.
25 is a perfect cube.
125 is a perfect cube.
B.
16 is a perfect square.
C.
30 is neither a perfect square nor a perfect cube.
D.
2 comma 197 is both a perfect square and a perfect cube.
E.
25 is a perfect cube.
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