Which biconditional statement is true

I don't want to lose the work for the table, so I'll just leave my answer here. Thanks for confirming my hypothesis! See the following truth table:. R R R R 1, 9 9 silver badges 15 15 bronze badges. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. Upcoming Events. Featured on Meta. Now live: A fully responsive profile. Exercises Directions: Read each question below.

None of the above. Given: r: 11 is prime. Problem: The biconditional r s represents which of the following sentences? If 11 is prime, then 11 is odd. If 11 is odd, then 11 is prime. Given: x y y x Problem: If both of these statements are true then which of the following must also true?

Given: m n is biconditional Problem: Which of the following is a true statement? Which of the following statements is biconditional? I am sleeping if and only if I am snoring. Mary will eat pudding today if and only if it is custard. It is raining if and only if it is cloudy. Determine the truth values of this statement: p q q p.

What does the statement p q represent? The statement p q represents the sentence, "A polygon is a triangle if and only if it has exactly 3 sides.

Write a b as a sentence. Write x y as a sentence. Write r s as a sentence. The biconditional a b represents which of the following sentences? The biconditional r s represents which of the following sentences?

Lessons on Symbolic Logic. Practice Exercises. Challenge Exercises. Interactive Puzzle. Take the first conditional statement from above: Hypothesis: If I have a pet goat … Conclusion: … then my homework will be eaten. Create the converse statement: Hypothesis: If my homework is eaten … Conclusion: Then I have a pet goat. Converse: If my homework is eaten, then I have a pet goat. Let's apply the same concept of switching conclusion and hypothesis to one of the conditional geometry statements: Conditional: If I have a triangle, then my polygon has only three sides.

Converse: If my polygon has only three sides, then I have a triangle. This converse is true; remember, though, neither the original conditional statement nor its converse have to be true to be valid, logical statements.

Both the conditional and converse statements must be true to produce a biconditional statement:. Instructor: Malcolm M. Malcolm has a Master's Degree in education and holds four teaching certificates. He has been a public school teacher for 27 years, including 15 years as a mathematics teacher. Local and online. View Tutors. Geometry Help. Mathematical Logic. Tutors online. Ask a question Get Help. View Math Tutors.

Popular cities for math tutoring Math Tutors New York. Find a math tutor near you Learn faster with a math tutor. Find a tutor locally or online.