More practice questions

  1. Q5. How many primes are less than 99? Is the set of primes finite?

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    25 primes are less than 99 (2, 3, 5, 7, …, 89, 97), so that set is finite. The set of all primes is infinite.

  2. Q6. Is {x : x ∈ Z and −10 ≤ x ≤ 10} finite? Find its number of elements.

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    Finite: the integers from −10 to 10, that is 10 negative, zero and 10 positive, 21 in all.

  3. Q7. Is the set of all lines through a fixed point finite or infinite?

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    Infinite: there is one line for every direction, and there are infinitely many directions.