Mathematics
Grade9
Easy

Question

Consider the conditional statement “If A, then B,” where the hypothesis A is “x and y are even numbers” and the conclusion 𝐵 is “x + y is even”
.Complete the table to give the truth value of the conditional statement and its converse, inverse, and contrapositive.

  1. True, True, False, True
  2. False, False, True, True
  3. False, False, False, True
  4. True, False, False, True

hintHint:

A number divisible by 2 is called an even number.

The correct answer is: True, False, False, True


    If A, then B is true.
    If B, then A is false.
    If not A, then not B is false.
    If not B, then not A is true.
    Hence, the correct option is D.

    Sum of two even numbers is even and sum of two odd numbers is also even.

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