Given sets X = {0, 1, 2, 4}, Y = {0, 2, 4, 6, 8}, and Z = {5, 6, 10}, which of the
following statements is false ?
[A] 2�¸X [B] 6�¸Y [C] 10�¸Z [D] 2∉Y [E] None of these
i think it is C can you tell me if i am right
thanks in advance
To determine which statement is false, we need to compare the elements of each set with the given statement. Let's analyze each statement one by one:
[A] 2 ∈ X: This statement is true because 2 is an element of set X.
[B] 6 ∈ Y: This statement is true because 6 is an element of set Y.
[C] 10 ∈ Z: This statement is false because 10 is not an element of set Z. Therefore, statement C is false.
[D] 2 ∉ Y: This statement is true because 2 is not an element of set Y.
[E] None of these: This option implies that none of the statements are false, which is incorrect since statement C is false.
So, you are correct, statement C is false.