Logical Connectives

Which is NOT true about conjunction?

• The statement is formed by using the word "and".

• The statement is false if both p and q are TRUE, otherwise it is FALSE.

• The statement is true if both p and q are FALSE, otherwise it is FALSE.

• The statement is true if both p and q are TRUE, otherwise it is FALSE.

What is the symbol used for conjunction?

•  $\vee$  

•  $\wedge$  

•  $\sim$  

•  $>$  

What is the symbol for disjunction?

• $\rightarrow$

• $\vee$

• $\wedge$

• $\leftrightarrow$

What is the word used to join the statements in disjunction form?

• or

• and

• not

• if and only if

Which of the following is true?

• $T\ \wedge\ F$

• $F\ \vee\ F$

• $\sim F$

Which of the following is false?

• $T\ \ \wedge\ F$

• $F\ \vee\ T$

• $\sim F$

If p is any proposition, which of the following is always true?

•  $p\ \vee\ True$ 

•  $p\ \wedge\ True$ 

•  $\sim p$ 

If p is any proposition, which of the following is always false?

•  $p\ \wedge\ True$ 

•  $p\ \vee\ False$ 

•  $p\ \vee\ True$ 

•  $p\ \wedge\ False$ 

If T is true and F is false, determine the truth value of the proposition:  $\left(T\ \vee\ T\ \right)\ \vee\ T$  .

• True

• False

If T is true and F is false, determine the truth value of the proposition:  $\left(F\ \vee\ F\ \right)\ \vee\ F$  .

• True

• False