Q. 3 C3.7( 3 Votes )

# Which of the foll

Answer :

Equal Sets = Two sets A and B are said to be equal if they have exactly the same elements & we write A = B

We have,

E = {x : x ϵ Z, x2 ≤ 4}

Here, x Z and x2 ≤ 4

If x = -2, then x2 = (-2)2 = 4 = 4

If x = -1, then x2 = (-1)2 = 1 < 4

If x = 0, then x2 = (0)2 = 0 < 4

If x = 1, then x2 = (1)2 = 1 < 4

If x = 2, then x2 = (2)2 = 4 = 4

So,

E = {-2, -1, 0, 1, 2}

and F = {x : x ϵ Z, x2 = 4}

Here, x Z and x2 = 4

If x = -2, then x2 = (-2)2 = 4 = 4

If x = 2, then x2 = (2)2 = 4 = 4

So, F = {-2, 2}

E ≠ F because the elements in the both the sets are not equal.

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