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3 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
State whether the following statements are true or false. If the statements is false, re-write the given statements correctly:
If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that $\text{x}\in\text{B}$ and $\text{y}\in\text{A}$
Answer
False.

Solution:

If A and B are non-empty sets, then AB is a non-emoty set of ordered pairs (x, y) such that $\text{x}\in\text{A}$ and $\text{y}\in\text{B}$

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Question 21 Mark
State whether the following statements are true or false. If the statements is false, re-write the given statements correctly:
If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n, m)}
Answer
False.

Solution:

If P = {m, n} and Q = {n, m}

Then,

P × Q = {(m, n), (m, m), (n, n), (n, m)}

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Question 31 Mark
State whether the following statements are true or false. If the statements is false, re-write the given statements correctly:
If A = {1, 2}, B = {3, 4}, then $\text{A}\times(\text{B}\cap\phi)=\phi$
Answer
True.
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