p : xy = yx, is true for every real number x and y q : There exists real number x and y for which xy = yx. Above pair of statements are 1. negation of each other 2. not negation of each other 3. converse of each other 4. contrapositive of each other

Open in App

Solution

Suggest Corrections

Similar questions

Check whether the following pair of statements is negation of each other. Give reasons for the answer.

(i) x + y = y + x is true for every real numbers x and y.

(ii) There exists real number x and y for which x + y = y + x.

x + y = y + x

x

y

x

y

x + y = y + x

x + y = y + x

x

y

x

y

x + y = y + x

Check whether the following pair of statements are negations of each other. Give reasons for your answer.

(i) x +y =y +x is true for every real numbers x and y.

(ii) There exists real numbers x and y for which x + y = y + x.

Check whether the following pair of statements are negation of each other. Give reason for your answer.

(i) a+b = b + a is true for every real number a and b.

(ii) There exists real numbers a and b for which a+b = b + a.

Join BYJU'S Learning Program