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

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

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

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

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

Identify the type of ‘Or’ used in the following statement and check whether the statement is true or false. sqrt 2 is a rational number or an irrational number.

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 .

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

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