Set theory in real analysis

Assignment Help Basic Statistics

Reference no: EM13122017

Formal Math Proofs

Prove that each of the following sets is countable:

a) The set of all numbers with two distinct decimal expansions (like 0.500... and 0.4999...);

b) The set of all rational points in the plane (i.e., points with rational coordinates);

c) The set of all rational intervals (i.e., intervals with rational end points);

d) The set of all polynomials with rational coefficients.

Reference no: EM13122017

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