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 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 .

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

State whether the following statements are true or false. Give reasons for your answe. Every irrational number is a real number.

State whether the following statements are true or false. Give reasons for your answe. Every real number is 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 statements negations of each other: The number x is not a rational number. The number x is not an irrational number.

Which of the following statements are true and which are false. Give reason in support of your answer. : For any real number x,x^2ge0

Which of the following statements are true and which are false. Give reason in support of your answer. : For any real number x,x^2ge0

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

For any real number of x and y, if cos x=cos y then: