Question
Mathematics Question on mathematical reasoning
Let p be the statement "x is an irrational number", q be the statement "y is a transcendental number", and r be the statement " x is a rational number iff y is a transcendental number". r is equivalent to either q or p r is equivalent to ∼(p↔∼q).
A
Statement -1 is false, Statement-2 is true
B
Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
C
Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
D
Statement -1 is true, Statement-2 is false
Answer
Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
Explanation
Solution
Answer (c) Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1