Question

State the following statement is true or false:

If E = {factors of 16} and F = {factors of 20}, then E = F.

Options

• True

• False

Answer 1

False.

Explanation:

E = {Factors of 16}

= {1, 2, 4, 8, 16}

1 x 16 = 16

2 x 8 = 16

4 x 4 = 16

F = {Factors of 20}

= {1, 2, 4, 5, 10, 20}

1 x 20 = 20

2 x 10 = 20

4 x 5 = 20

Now we see that elements of set E and set F are not the same (identical)

∴ "if E = {Factors of 16} and F = {Factors of 20}, then E = F"......is a False statement.