MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Introduction to Numbers

Mark the corr...

Question

Mark the correct answer in each of the following:
Which of the following is not a negation of "A natural number is greater than zero".
(a) A natural number is not greater than zero
(b) It is false that a natural number is greater than zero
(c) It is false that a natural number is not greater than zero
(d) None of these

Open in App

Solution

For given statement;
p: " A natural number is greater than zero".
~p: A natural number is not greater than zero.
∴ Not negation of p is the statement, It is false that a natural number is not greater than zero.

Hence, the correct answer is option C.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Which of the following statements are true?

(i) The smallest integer is zero.

(ii) The opposite of zero is zero.

(iii) Zero is not an integer.

(iv) 0 is larger than every negative integer.

(v) The absolute value of an integer is greater than the integer.

(vi) A positive integer is greater than its opposite.

(vii) Every negative integer is less than every natural number.

(viii) 0 is the smallest positive integer.

Q. For each of the following statements, write (T) for true and (F) for false:
(i) The smallest integer is zero.
(ii) Zero is not an integer.
(iii) The opposite of zero is zero.
(iv) −10 is greater than −6.
(v) The absolute value of an integer is always greater than the integer.
(vi) 0 is larger than every negative integer.
(vii) Every negative integer is less than every natural number.
(viii) The successor of −187 is −188.
(ix) The predecessor of −215 is −214.

Q. Write the negation of the following statements:
(i) Chennai is the capital of Tamil Nadu
(ii)

\sqrt{2}

is not a complex number
(iii) All triangles are not equilateral triangle
(iv) The number

2

is greater than

7

(v) Every natural number is an integer

n^{4} + 4

is a composite number for each natural number n is greater than 1.

Q. Write the negation of the following statements: (i) Chennai is the capital of Tamil Nadu. (ii) is not a complex number. (iii) All triangles are not equilateral triangle. (iv) The number 2 is greater than 7. (v) Every natural number is an integer.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Introduction to Numbers

Standard VI Mathematics

Join BYJU'S Learning Program

CrossIcon