Write the negation of the following statements and check whether the resulting statements are true.
(i). Australia is a continent.
(ii) There does not exist a quadrilateral which has all its sides equal.
(iii) Every natural number is greater than `0`.
(iv) The sum of 3 and 4 is `9`

Write the negation of the following statements and check the resulting statements are true,(i)Australia is a continent.

Write the negation of the following statements and check whether the resulting statements are true. every natural number is greater than zero.

Write the negation of the following statements and check the resulting statements are true,(ii)There does not exist a quadrilateral which has all its sides equal.

Identify the quantifier in the following statements and write the negation of the statements There exists a number which is equal to its square.

Identify the quantifier in the following statements and write the negation of the statements. i) There exists a number which is equal to its square. ii) For every real number x , x is less than x+1 iii) There exists a capital for every state in India

Write the component statements of the following compound statements and check whether, the compound statement is true or false . (i) A line is straight and extends indefinitely in both directions. (ii) 0 is less than every positive integer and every negative integer. (iii) All living things have two legs and two eyes.

Write the negation of the following statements: (i) p: For every real number x , x^(2)gt(x) (ii) q: There exists a rational number x such that x^2=2 . (iii) r: All birds have wings. (iv) s : All students study mathematics at the elementary level.

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

Which of the following is a statement? (i) x+2=9 (ii) 6 has three prime factors (iii) x^(2)+5 x+6=0

Find the component statements of the following compound statements. (i) The sky is blue and the grass is green. (ii) It is raining and it is cold. (iii) All rational numbers are real and all real numbers are complex. (iv) 0 is a positive number or a negative number.