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}

⊆