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:

x² + 5x + 6 = 0

⇒ x² + 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.