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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
Solution
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.
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