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In these
sections you will be given a mathematical statement. You have
to decide if it is always
true, sometimes true or never
true. Each question is designed to make you think. Don't
just guess an answer. Think about it carefully and work out
how you would persuade a friend you were right.
If it is always true can
you prove it?
If it is sometimes true
can you work out in which cases it is true?
If it is never true can
you convince somebody using logic?
These
problems could be good to work on in twos. You will be able
to pick faults in the other person's argument and refine it
between you.

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