MATH 13 Study Guide - Final Guide: Disjoint Sets, Mathematical Induction, Distributive Property

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15 Oct 2018
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For each statement below, circle t or f according to whether the statement is true or false. You do not need to justify your answers. T f(cid:13) every countably in nite subset of r is well-ordered. T f(cid:13) for all integers a, b, and c, if a | 2b and b | 2c then a | 2c. T(cid:13) f if a is a set and p(a) is in nite, then a must also be in nite. T(cid:13) f there is a bijection from the closed interval [0, ) to the open. T(cid:13) f for all sets a and b, if there is a surjection from a to b and a is interval (0, ). countable, then b is countable. T(cid:13) f if r is a symmetric relation on the set a, then (a a) r must also be a symmetric relation on a.

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