# Discrete Math Proofs

## Question

Section 7.4

(4)
Let O be the set of all odd integers. Prove that O has the same cardinality as 2Z, the set of all evens

(5)

Let 25Z be the set of all integers that are multiples of 25. Prove that 25Z has the same cardinality as 2Z, the set of all even integers.

(12)

S denotes the set of real numbers strictly b/w 0 and 1. That is, S= {x IN R| 0 < x< 1}

Let a and b be real numbers with a < b, and suppose that W = {x IN R|a<X<b}. Prove that S and W have the same cardinality

(15)

Show that the set of all bit strings (strings of 0's and 1's) is countable

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