Propositional Logic and Truth Tables

"Please tell me who your Math teacher is."

• YES, this is a proposition.

• NO, this is not a proposition.

"The number 51 is prime."

• YES, this is a proposition.

• NO, this is not a proposition.

"Burj Khalifa is the tallest building in the world."

• YES, this is a proposition.

• NO, this is not a proposition.

"x + 2 = 2x"

• YES, this is a proposition.

• NO, this is not a proposition.

"x + 2 = 2x when x = -2"

• YES, this is a proposition.

• NO, this is not a proposition.

"Do you want to go on a vacation?"

• YES, this is a proposition.

• NO, this is not a proposition.

p: Rose is a female student.

q: Rose is in the Civil Engineering program.

Write the ff. compound proposition in symbol form:

Rose is a female student and she is in the Civil Engineering program.

• p ∨ q

• p ∧ q

• p → q

p: Rose is a female student.

q: Rose is in the Civil Engineering program.

Write the ff. compound proposition in symbol form:

If Rose is not a female student, then she is in the Civil Engineering program.

• ~p ∧ q

• ~(p ∨ q)

• ~p → q

p: Rose is a female student.

q: Rose is in the Civil Engineering program.

Write the ff. compound proposition in symbol form:

Rose is not in the Civil Engineering program or she is a female student.

• ~p ∨ q

• ~q ∨ p

What is the truth value of the compound proposition?

• TRUE

• FALSE