Assignment:
Q1. Find the cardinality of the set of all irrational numbers, and prove your answer is correct.
Q2. Is there a line in the x-y plane such that both coordinates of every point on the line are rational? Prove your answer is correct.
Q3. Find the cardinality of the set of all complex numbers, and justify your answer.
Q4. What is the cardinality of the set of all finite sets subsets of R? Prove your answer is correct.
Q5. Find the cardinality of the set of all points in the plane which have one rational coordinate and one irrational coordinate, and justify your answer.
Provide complete and step by step solution for the question and show calculations and use formulas.