Math 110 Final
(B ∩ A') Venn diagram
B is shaded, NOT including middle intersection
F and T make what?(^)
T
T and F make what?(^)
T
T and T make what? (^)
T
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]
TRUE
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)
TRUE
Explain why the statement 2 ≤ 6 is a disjunction.
The symbol ≤ means "less than or equal to."
A card is selected at random from a standard deck of playing cards. Compute the probability that the card is a 4. (Enter the probability as a fraction.)
1/13
A student downloaded 6 music files to a portable music player. In how many different orders can the songs be played?
720
F and F make what?(^)
F
Determine the truth value of the compound statement given that p is a false statement, q is a false statement, and r is a true statement. [~(p ∧ ~q) ∨ r] ∧ (p ∨ ~r)
FALSE
Determine the truth value of the given statement. If |x| = 8, then x = 8.
False
State whether the given biconditional is true or false. Assume that x and y are real numbers. x2 = 16 if and only if x = 4.
False
Insert either ⊆ or in the blank space between the sets to make a true statement. {a, b, c, d} _____ {a, b, c, d, e, f, g}
⊆