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Question
If sets A and B are defined as A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}` B = {(x, y) | y = – x, x ∈ R}, then ______.
Options
A ∩ B = A
A ∩ B = B
A ∩ B = Φ
A ∪ B = A
Solution
If sets A and B are defined as A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}` B = {(x, y) | y = – x, x ∈ R}, then A ∩ B = Φ.
Explanation:
Given that, A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}`
And = {(x, y) | y = – x, x ∈ R}
It is very clear that y = `1/x` and y = – x
∵ `1/x ≠ - x`
∴ A ∩ B = Φ
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