Home
Class 11
MATHS
Let p be the statement ''x is an irratio...

Let p be the statement ''x is an irrational number", ą be the statement "y is a transcendental number", and r be the statement or is a rational number iff y is a transcendental number",
Statement 1: r is equivalent to either q or p.
Statement 2: r is equivalent to `~(p hArr ~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.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Suppose p denotes the statement " sqrt3 is an irrational number" and q denotes the statement "Kochi is a city in Kerala" Complete the following table

If R is the set of all real number and Q is the set of all rational numbers, then what is R - Q?

The converse of the statement p rArr q is

Consider the compound statement" sqrt5 is a rational number or irrational number". Check whether the compound statement is true or false.

Are the following pairs of statements negations of each other The number x is a rational number The number x is an irrational number

Suppose p denotes the statement " sqrt3 is an irrational number" and q denotes the statement "Kochi is a city in Kerala".Write the verbal sentances representing the following statements p rarr ~q

Suppose p denotes the statement " sqrt3 is an irrational number" and q denotes the statement "Kochi is a city in Kerala".Write the verbal sentences representing the following statements ~p rarr q

Are the following pairs of statements negations of each other? The number x is a rational number. The number x is an irrational number.

Contrapositive of the statement p rArr q is