If the statement, "Some erasers are not pencils" is given as false, then which…
2026
If the statement, "Some erasers are not pencils" is given as false, then which of the following statement could be inferred to be false?
Answer: D. No erasers are pencils — The statement 'Some erasers are not pencils' is an O proposition. If this is false, the contradictory A proposition 'All erasers are pencils' must be true.…
- A.
All erasers are pencils
- B.
Some pencils are erasers
- C.
Some erasers are pencils
- D.
No erasers are pencils
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Correct answer: D
The statement 'Some erasers are not pencils' is an O proposition.
If this is false, the contradictory A proposition 'All erasers are pencils' must be true.
Consequently, the statement 'No erasers are pencils' (an E proposition) contradicts the truth of 'All erasers are pencils' and must be false.