Are the following pairs of the statement negation of each other
The number x is not a rational number
The number is x is not an irrational number

Are the following pairs of statements negations of each other: The number x is not a rational number. The number x is not an irrational number.

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

Define an irrational number. How does it differ from rational numbers.

Check whether the following pairs of statements are negation of each other. Give reasons for your answer. x+y=y+x is true for every real number x and y. There exists real number x and y for which x +y = y+x

Give an example of two irrational numbers whose difference is a rational number.

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

Check whether the following pair of statements are negation of each other. Give reasons for your answer. x + y= y + x is true for every real numbers x and y. There exists real numbers x and y for which x + y = y + x .

Write the component statements of the following compound statements and check whether the compound statement is true or false. sqrt2 is a rational number or an irrational number.

Write the component statements of the following compound statement and check whether the compound statement is true or false. sqrt 2 is a rational number or an irrational number.

Check whether -sqrt63/sqrt448 is a rational number or an irrational number.