3.2 MGF1106

Given the number of rows in the truth for the compound statement

(~n^q) The number of rows in the truth table is 4

Let p represent a false statement and let q represent a true statement. Find the truth value of the following statement ~(~p^(q^~p)]

False

Let p represent a false statement, and let q and r represent true statements. Find the truth value of the given compound statement

False

Let p represent a false statement, and let q represent a true statement. Find the truth value of the given compound statement

False

Let p represent a true statement, and let q represent a true statement. Find the truth value of the following statement ~(pv~q)

False

Let p represent a true statement, and let q represent a true statement. Find the truth value of the given compound statement ~pv~q

False

The disjunction pVq is false only if

P is false and q is false

Construct a truth table for the given compound statement ~p^q

P q ~p^q T T F T F F F T T F F F

If pv(q^~q) is true, what must be the truth value of p?

True

If q is true, what must be the truth value of (pvq) v q?

True

Let p represent a false statement and let q represent a true statement. Find the truth value of the given compound statement

True

Let p represent a false statement and let q represent a true statement. Find the truth value of the given compound statement, pvq

True

Let q represent a true statement. Let p represent a false statement, and let s represent a false statement. Find the truth value of the following statement.

~[(q^~p) ^s]

Let s represent a false statement, Let p represent a true statement and let q represent a true statement. Find the truth value of the following statement

~[~q^(~svp)]

Let p represent a true statement, let q represent a false statement, and let r represent a false statement. Find the truth value of the given compound sentence

The compound statement p^(qvr) is false

Let p represent a true statement. Let q represent a true statement, and let r represent a false statement. Find the truth value of the given compound statement.

The compound statement ~(p^q)^(r^~q) is false

(p^~Q)v~p

p q (p^q)v~p T T T F F T F F

(pv~Q) ^ (pvq)

p q (pv~q)^(pvq) T T T T F T F T F F F F

p^~q

p q p^~q T T F T F T F T F F F F