Question

Determine whether the following sets are finite, countably infinite, or uncountable. If the set is finite, list all of the elements in the set. If the set is countably infinite, give a bijection between that set and N. If the set is uncountable, give a proof. - A={x∈R∣∃q∈{−1,0,1},xq=5}

Answer 1

The set A={x∈R∣∃q∈{−1,0,1},xq=5} is finite with the elements 5 and -5.

Step-by-step explanation:

The set A={x∈R∣∃q∈{−1,0,1},xq=5} can be simplified to A={5, -5}. Since the set only has two elements, it is finite. The elements in the set are 5 and -5.