1)Write the negation of the following Statements and check whether the resulting statements are true
Australia is a continent
The negation of the statement is
It is falsethat Australia is a continent
This can also be rewritten as
Australia is not a continent
We know that this statement is false
4)Write the negation of the following Statements and check whether the resulting statements are trueThe sum of 3 and 4 is 9
Write the negation of the following Statements and check whether the resulting statements are trueEvery natural number is greater than 0
Write the negation of the following Statements and check whether the resulting statements are true There does not exist a quadrilateral which has all its sides equal
here is an example to illustrate hoW, by looking at the negaton of a statement we may improve our understanding of it.Let us consider the statementp: Everyone in Germany speaks German.The denial of this sentence tells us that not everyone in Germany speaks German.This dooes not mean that no person in Germany speaks German. It says merely that atleast one person in Germany does not speak German.We shall consider more examples.Example 2 Write the negation of the following statements.(ii) √7...
Check whether the following sentences are statements .give reason for your answer i) 8 is less than 6
Check whether the following sentences are statements.give reason for your answer .Every set is a finite set
Write the converse of the following statements.If a number n is even, then n² is even.
6. (4 marks) Write down the negation of each of the following statements. Then determine whether the statement or its negation is true, and explain why (a) x E R, y E R such that xy 5. (b) z, y E R+ such that V z E Z+, > z.
Compound Statement is a statement which is made up of two ormore statements . In this case, each statement is called a component statement.statements. InLet us consider some examples. Find the component statements of the following compound statements..It is raining and it is cold.
Compound Statement is a statement which is made up of two ormore statements . In this case, each statement is called a component statement.statements. InLet us consider some examples. Find the component statements of the following compound statements.() The sky is blue and the grass is green.