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2. Relations
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Q8 of 65 Page 75

If A = {5} and B = {5, 6}, write down all possible subsets of A × B.

A = {5}


B = {5, 6}


A × B = {(5, 5), (5, 6)}


All the possible subsets of A × B are,


{}


{(5, 5)}


{(5, 6)}


{(5, 6), (5, 6)}


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6

If A ⊆ B, prove that A × C = B × C

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Prove that A × B = B × A ⇒ A = B.

9

Let R = {(x, x2) : x is a prime number less than 10}.

(i) Write R in roster form.


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10

Let A = (1, 2, 3} and B = {4}

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Questions · 65
2. Relations
1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 A 1 B 1 C 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12
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