3.2 HW

Determine the truth value for each simple statement. Then use these truth values to determine the truth value of the compound statement. New Hampshire borders the Atlantic ocean or Washington State borders the Indian ​ocean, or Dallas is in Canada. The truth value of the simple​ statement, "Dallas is in Canada​," is _______.

False

Determine the truth value for each simple statement. Then use these truth values to determine the truth value of the compound statement. New Hampshire borders the Atlantic ocean or Washington State borders the Indian ​ocean, or Dallas is in Canada. The truth value of the simple​ statement, "Washington State borders the Indian ocean," is _______

False

Determine the truth value of the statement (p ∧ ~q) ∨ r using the following conditions. ​a) p is true​, q is true​, and r is false. ​b) p is false​, q is false​, and r is true. a) If p is true​,q is true​,and r is false​, what is the truth value of (p ∧ ~q) ∨ r​?

False

Construct a truth table for the following statement. ~r∨~s Complete the truth table.

First column (top to bottom) F, F, T, T Second column (top to bottom) F, T, F, T Third column F, T, T, T

Construct a truth table for the given statement. ~p∨p Fill in the truth table.

First column (top to bottom) F, T Second column (top to bottom) T, T

Construct a truth table for the given statement. ~q ∨ p Fill in the truth table.

First column (top to bottom) F, T, F, T Second column (top to bottom) T, T, F, T

Determine the truth value for each simple statement. Then use these truth values to determine the truth value of the compound statement. New Hampshire borders the Atlantic ocean or Washington State borders the Indian ​ocean, or Dallas is in Canada. The truth value of the compound​statement, "New Hampshire borders the Atlantic ocean or Washington State borders the Indian ocean, or Dallas is in Canada​," is _________.

True

Determine the truth value for each simple statement. Then use these truth values to determine the truth value of the compound statement. New Hampshire borders the Atlantic ocean or Washington State borders the Indian ​ocean, or Dallas is in Canada. The truth value of the simple​ statement, "New Hampshire borders the Atlantic ocean," is ______

True

Determine the truth value of the statement (p ∧ ~q) ∨ r using the following conditions. ​a) p is true​, q is true​, and r is false. ​b) p is false​, q is false​, and r is true. ​ b) If p is false​,q is false​, and r is true,what is the truth value of (p ∧ ~q) ∨ r​?

True

Determine the truth value of the statement (~p ∨ ~q) ∨ (~r ∧ q) using the following conditions. ​a) p is false​, q is false​, and r is true. ​b) p is false​, q is true​, and r is false. ​a) If p is false​, q is false​, and r is true​, what is the value of (~p ∨ ~q) ∨ (~r ∧ q)​?

True

Determine the truth value of the statement (~p ∨ ~q) ∨ (~r ∧ q) using the following conditions. ​a) p is false​, q is false​, and r is true. ​b) p is false​, q is true​, and r is false. ​​b) If p is false​, q is true​, and r is false​, what is the value of (~p ∨ ~q) ∨ (~r ∧ q)​?

True

Fill in the blank. The negation of​ p, ~p, will always have the​ _______ truth value of p.

opposite