1 Exampromax - Stuvia US 2025/2026
Math110- Test 2 Review | 2024 -2025 LATEST
UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED
ANSWERS | GUARANTEED TO PASS!!
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)
Ans: False
© 2025 All rights reserved®
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.
Exampromax - Stuvia US
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r)
Ans: 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]
Ans: False
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
Ans: A: She did not receive a promotion and she did not receive a raise.
Explain why the statement 6 ≤ 8 is a disjunction.
, 2 Exampromax - Stuvia US 2025/2026
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.
Ans: 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.
Ans: True
© 2025 All rights reserved®
Determine the truth value of the given statement.
Exampromax - Stuvia US
If |x| = 4, then x = 4.
Ans: False
State whether the given biconditional is true or false. Assume that x and y
are real numbers.
x2 = 49 if and only if x = 7.
Ans: False
State whether the given biconditional is true or false.
5 = 1 if and only if 6 = 8.
Ans: True
Write the sentence in symbolic form. Use v, p, and t as defined below.
v: "I will take a vacation."
p: "I get the promotion."
t: "I will be transferred."
If I am transferred, then I will not take a vacation.
A: v → t
Math110- Test 2 Review | 2024 -2025 LATEST
UPDATED | COMPREHENSIVE
QUESTIONS WITH 100% RATED
ANSWERS | GUARANTEED TO PASS!!
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)
Ans: False
© 2025 All rights reserved®
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.
Exampromax - Stuvia US
[~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r)
Ans: 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]
Ans: False
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
Ans: A: She did not receive a promotion and she did not receive a raise.
Explain why the statement 6 ≤ 8 is a disjunction.
, 2 Exampromax - Stuvia US 2025/2026
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.
Ans: 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.
Ans: True
© 2025 All rights reserved®
Determine the truth value of the given statement.
Exampromax - Stuvia US
If |x| = 4, then x = 4.
Ans: False
State whether the given biconditional is true or false. Assume that x and y
are real numbers.
x2 = 49 if and only if x = 7.
Ans: False
State whether the given biconditional is true or false.
5 = 1 if and only if 6 = 8.
Ans: True
Write the sentence in symbolic form. Use v, p, and t as defined below.
v: "I will take a vacation."
p: "I get the promotion."
t: "I will be transferred."
If I am transferred, then I will not take a vacation.
A: v → t
