Give three examples of sentences which are not statements Give reasons for the answers

Question

Verified by Toppr

Answer 1

The three examples of sentences which are not statements are as follows
(i) He is a doctor
It is not evident from the sentence as to whom 'he' is referred to Therefore it is not a statement
(ii) Geometry is difficult
This is not a statement because for some people geometry can be easy and for some
others it can be difficult
(iii) Where is she going?
This is a question which also contains 'she' and it is not evident as to who 'she ' is
Hence it is not a statement

Answer 2

The three examples of sentences which are not statements are as follows
(i) He is a doctor
It is not evident from the sentence as to whom 'he' is referred to Therefore it is not a statement
(ii) Geometry is difficult
This is not a statement because for some people geometry can be easy and for some
others it can be difficult
(iii) Where is she going?
This is a question which also contains 'she' and it is not evident as to who 'she ' is
Hence it is not a statement

Give three examples of sentences which are not statements Give reasons for the answers

Bi-conditional statements are given below. The true statement among them is

Show that the statement "For any real numbers a and b, $a^{2} = b^{2}$ implies that $a = b$ " is not true by giving a counter-example

Check the validity of the statements given below by the method given against it
(i) p : The sum of an irrational number and a rational number is irrational (by contradiction method)
(ii) q : If $n$ is a real number with $n > 3$ then $n^{2} > 9$ (by contradiction method)

Given below are two statements
p : $25$ is a multiple of $5$
q : $25$ is a multiple of $8$
Write the compound statements connecting these two statements with "And" and "Or"
In both cases check the validity of the compound statement

Revise with Concepts

Logical Connectives and their Truth Tables

Mathematical Statement

Introduction to Conditional Statements

Give three examples of sentences which are not statements Give reasons for the answers

Bi-conditional statements are given below. The true statement among them is

Show that the statement "For any real numbers a and b, a2=b2 implies that a=b" is not true by giving a counter-example

Check the validity of the statements given below by the method given against it (i) p : The sum of an irrational number and a rational number is irrational (by contradiction method) (ii) q : If n is a real number with n>3 then n2>9 (by contradiction method)

Given below are two statements p : 25 is a multiple of 5 q : 25 is a multiple of 8 Write the compound statements connecting these two statements with "And" and "Or" In both cases check the validity of the compound statement

Revise with Concepts

Logical Connectives and their Truth Tables

Mathematical Statement

Introduction to Conditional Statements

Show that the statement "For any real numbers a and b, $a^{2} = b^{2}$ implies that $a = b$ " is not true by giving a counter-example

Check the validity of the statements given below by the method given against it
(i) p : The sum of an irrational number and a rational number is irrational (by contradiction method)
(ii) q : If $n$ is a real number with $n > 3$ then $n^{2} > 9$ (by contradiction method)

Given below are two statements
p : $25$ is a multiple of $5$
q : $25$ is a multiple of $8$
Write the compound statements connecting these two statements with "And" and "Or"
In both cases check the validity of the compound statement