Aspire Faculty ID #17777 · Topic: JAMIA MILLIA ISLAMIA MCA 2025 · Just now
JAMIA MILLIA ISLAMIA MCA 2025

Consider the following statements: S1: There exists infinite sets A, B, C such that A ∪ C = B ∪ C is finite. S2: There exist two irrational numbers x and y such that (x+y) is rational. Which of the following is true about S1 and S2?

Solution

 Consider the statements:
S1: There exists infinite sets A,B,C such that A   C = B  C is finite.
If A and C are infinite, then A  C must be infinite. So this is impossible.
S2: There exist two irrational numbers x and y such that (x+y) is rational.


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