Logic Truth Table & Converse of Statements Worksheet

p q T T T F F T F F ∼q p∧q 7. Complete the truth table above. Use T for truth & F for false. In this table, p and q are statements. p q T T T F F T F F ∼(p∨q ) 8. Complete the truth table above. Use T for truth & F for false. p q T T T F F T F F ∼(p→q ) 9. Complete the truth table above. Use T for truth & F for false. p q T T T F F T F F ∼(q→p ) ∧q 10. Complete the truth table above. Use T for truth & F for false. p q T T T F F T F F ~q→p ~q↔p 11. Complete the truth table above. Use T for truth & F for false. 12. If a radio station is playing music, then the radio station is playing a Frank Sinatra song. (a) Give the converse of the statement. (Choose one)-a radio station is playing a Frank Sinatra song, a If radio station is not playing a Frank Sinatra song, a radio station is playing music, a radio station is not playing music, (Choose one)-the radio station is playing a Frank Sinatra song. then the radio station is not playing a Frank Sinatra song. the radio station is playing music. the radio station is not playing music. (b) Give the inverse of the statement. (Choose one)-a radio station is playing a Frank Sinatra song, a If radio station is not playing a Frank Sinatra song, a radio station is playing music, a radio station is not playing music, (Choose one)-the radio station is playing a Frank Sinatra song. then the radio station is not playing a Frank Sinatra song. the radio station is playing music. the radio station is not playing music. (c) Give the contrapositive of the statement. (Choose one)-a radio station is playing a Frank Sinatra song, a If radio station is not playing a Frank Sinatra song, a radio station is playing music, a radio station is not playing music, (Choose one)-the radio station is playing a Frank Sinatra song. then the radio station is not playing a Frank Sinatra song. the radio station is playing music. the radio station is not playing music.