Question

Find one counterexample to each statement. Counterexamples should be written in complete sentences.

a) All positive numbers are even numbers.

b) All multiples of 3 are odd numbers.

c) All four-sided figures are squares.

Answer 1

a) A counterexample to the statement "All positive numbers are even numbers" is the number 3. 3 is a positive number, but it is not an even number.

b) A counterexample to the statement "All multiples of 3 are odd numbers" is the number 6. 6 is a multiple of 3, but it is an even number, not an odd number.

c) A counterexample to the statement "All four-sided figures are squares" is a rectangle. A rectangle is a four-sided figure, but it is not a square because it has unequal side lengths.

you’re welcome!!!! :)