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  4. Let A = θ: sin(θ) = tan(θ) and B = θ: cos(θ) = 1 be two sets. Then :

Q. Let and be two sets. Then :

Sets Report Error

Solution:

Let
and
Now,


For
This shows that A is not contained in B. i.e. A ⊄ B. but B A.

Questions from Sets

1. If and , where N is the set of natural numbers, then is equal to:

2. Let A = {x : x is a multiple of 3} and B = { x : x is a multiple of 5}. Then A B is given by:

3. Consider the set A of all determinants of order 3 with entries 0 and 1 only. Let B be the subset of A consisting of all determinants with value 1.
Let C be the subset of the set A consisting of all determinants with value -1. Then

4. A set A has 3 elements and another set B has 6 elements. Then

5. The set A = {x : x R, = 16 and 2x = 6} equals

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