PAPER FULL SOLUTION 2026 GRADED A+.
◍ Converse Statement Answer: Switched conditional statement
(B=A)
◍ Inverse Statement Answer: Negative conditional statement (-A=-B)
◍ Contrapositive Statement Answer: Negative and switched
conditional statement (-B=-A)
◍ What is the most common logical error? Answer: Assuming that
the converse or inverse of a given statement must be true
◍ What do Existential Quantifiers indicate? Answer: The existence of
something
◍ What are the key phrases/terms for Existential Quantifiers?
Answer: Some, at least, there exists
◍ What do Universal Quantifiers indicate? Answer: That some
quality is shared by none of or every item in a set
, ◍ What are some key terms/phrases for Universal Quantifiers?
Answer: All, every, none, no
◍ What should be used to negate statements? Answer: Use the
opposite quantifier
◍ Counter examples prove what false? Answer: Statements
◍ What is a set? Answer: A collection of items that can be described
in words or with roster notation by using brackets {}
◍ What are Natural Numbers? Answer: All numbers zero through
infinity
◍ What is the symbol for Natural Numbers? Answer:
◍ What is the symbol for Integers? Answer:
◍ What is the symbol for Rational Numbers? Answer:
◍ What is the symbol for Real Numbers? Answer:
◍ What are Integers? Answer: All numbers negative infinity through
positive infinity