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Math110- Test 2 Review | 2026 -2027 LATEST
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Determine the truth value of the compound statement given that p is a false
statement, q is a true statement, and r is a false statement.
p ∨ (~q ∨ r)
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Correct Answer
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False
Determine the truth value of the compound statement given that p is a true
statement, q is a true statement, and r is a false statement.
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r)
Correct Answer
True
Determine the truth value of the compound statement given that p is a false
statement, q is a true statement, and r is a true statement.
(~p ∧ q) ∧ [(p ∨ ~q) ∧ r]
Correct Answer
False
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2
Make use of one of De Morgan's laws to write the given statement in an
equivalent form.
It is not true that, she received a promotion or that she received a raise.
A: She did not receive a promotion and she did not receive a raise.
B: She received a promotion but she did not receive a raise.
C: She either received a promotion or she received a raise, but not both.
D: She received a promotion and she received a raise.
E: She did not receive a promotion but she did receive a raise
Correct Answer
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A: She did not receive a promotion and she did not receive
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a raise.
Explain why the statement 6 ≤ 8 is a disjunction.
A: The symbol ≤ separates, that is, disjoins, the two values.
B: The symbol ≤ means "less than and equal to."
C: The symbol ≤ contains the verb of the mathematical statement.
D: The symbol ≤ means "less than or equal to."
E: The symbol = would be a conjunction; anything else is a disjunction.
Correct Answer
D: The symbol ≤ means "less than or equal to."
Determine the truth value of the given statement.
If all frogs can dance, then today is Monday.
Correct Answer