Question

5. Determine whether each of the following statements is true or false a. 1 + 1 = 3 if and only if monkeys can fly. b. If birds can fly, then 1 + 1 = 3. c. If 1 1- 3, then pigs can fly. 目view as Text A1 2

Answer 1

Part (A) True

Part (B) False

Part (C) True

Explanation:

Consider the provided information.

If both the statements are either true or false then the biconditionals are true. Otherwise biconditionals are false.

Part (A) 1 + 1 = 3 if and only if monkeys can fly.

Consider the first statement: 1+1=3 (This is a False statement)

Consider the second statement: "monkeys can fly" (This is also a False statement)

True: First statement is false and the second statement is also false, Thus, making the biconditional true.

Part (B) If birds can fly, then 1 + 1 = 3.

Consider the first statement: "birds can fly" (This is true statement)

Consider the second statement: 1 + 1 = 3 (This is a False statement)

False: First statement is true, but second statement is false, making everything false.

Part (C) If 1 + 1= 3, then pigs can fly.

Consider the first statement: 1+1=3 (This is a False statement)

Consider the second statement: "pigs can fly" (This is also a False statement)

True: First statement is false and the second statement is also false, Thus, making the biconditional true.