MyQuestionIcon

1

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

Complex Numbers

Write the com...

Question

Write the component statements of the statement. Also, check whether the statement is correct or not.
'If x and y are integers, then xy is a rational number.

Open in App

Solution

The component statements are
p : x and y are integers.
q : xy is a rational number.
Since, the product of two integers is an integer and therefore, it is a rational number. So, the compound statement is true. Hence, this is statement.

Suggest Corrections

thumbs-up

0

Similar questions

Write the component statement of the following compound statement and check whether the compound statement is true or false.

$\sqrt{2}$ is a rational number or an irrational number'.

Q. Write the component statement of the following compound statement and check whether the compound statement is true or false ; " Zero is less than every positive integer and every negative integer".

Q. Write the component statements of the following compound statements and check whether the compound statement is true or false:
(i) To enter into a public library children need an identity card from the school or a letter from the school authorities.
(ii) All rational numbers are real and all real numbers are not complex.
(iii) Square of an integer is positive or negative.
(iv) x = 2 and x = 3 are the roots or the equation 3x² − x − 10 = 0.
(v) The sand heats up quickly in the sun and does not cool down fast at night.

Q. Find the component statements of the following compound statements and check whether they are true or false
(i) Number

3

is prime or it is odd
(ii) All integers are positive or negative
(iii)

100

is divisible by

3, 11

5

Find the component statements of the following compound statements and check whether they are true or false.

(i) Number 3 is prime or it is odd.

(ii) All integers are positive or negative.

(iii) 100 is divisible by 3, 11 and 5.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Complex Numbers

Standard XI Mathematics

Join BYJU'S Learning Program

CrossIcon