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,
J = {2, 3}
and K = {x : x ε Z, (x2 + 5x + 6) = 0}
Here, x ∈ Z and x2 + 5x + 6 = 0
The given equation can be solved as:
x
2 + 5x + 6 = 0
⇒ x
2 + 2x + 3x + 6 = 0
⇒ x(x + 2) + 3(x + 2) = 0
⇒ (x + 2)(x + 3) = 0
⇒ x = -2 and -3
∴ K = {-2, -3}
∴ J ≠ K because elements of both the sets are not equal.
Which of the following are pairs of equal sets? J = {2, 3} and K = {x : x ε Z, (x2 + 5x + 6) = 0}
Which of the following are pairs of equal sets? J = {2, 3} and K = {x : x ε Z, (x2 + 5x + 6) = 0}