Mathematical reasoning
Compound Statement is a statement which is made up of two or
more statements . In this case, each statement is called a component statement.
statements. In
Let us consider some examples.
Find the component statements of the following compound statements.
.
It is raining and it is cold.
Homework Answers
The component statements are
p: It is raining.
q: It is cold.
The connecting word is 'and'.
Mathematical reasoning
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.
Mathematical reasoning
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.(iv) O is a positive number or a negative number.
Mathematical reasoning
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.(i) All rational numbers are real and all real numbers are complex.
Mathematical reasoning
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...
Maths
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.(i) Both...
11. We will prove the following statement by mathematical induction: Let 1,2tn be n2 2 distinct l...
11. We will prove the following statement by mathematical induction: Let 1,2tn be n2 2 distinct lines in the plane, no two of which are parallel Then all these lines have a point in common 1. For2 the statement is true, since any 2 nonparallel lines intersect 2. Let the statement hold forno, and let us have nno 1 inesn as in the statement. By the inductive hypothesis, all these lines but the last one (i.e. the nes 1,2.n-1) have...
3. Fill in the blank with "all", "no", or "some” to make the following statements true....
3. Fill in the blank with "all", "no", or "some” to make the following statements true. Note that “some” means one or more instances, but not all. • If your answer is “all”, then give a brief explanation as to why. • If your answer is “no”, then give a brief explanation as to why. • If your answer is “some”, then give two specific examples that illustrate why your answer it not “all” or “no”. An example must include...
Question 1 The following conditional statement is true If it is raining outside, then the grass...
Question 1 The following conditional statement is true If it is raining outside, then the grass is wet Which of the following statements must also be true? a) OIf it is raining outside, then the grass is not wet. b) OIf it is not raining outside, then the grass is not wet If the grass is wet, then it is raining outside. c) d) If the grass is not wet, then it is not raining outside. e) None of the...
Maths
Write the component statements of the following compoundstatements and check whether the compound statement is true or false.All living things have two legs and two eyes.
Choose the INCORRECT statement out of the given statements. Select one: A. Sulfur hexafluoride is a...
Choose the INCORRECT statement out of the given statements. Select one: A. Sulfur hexafluoride is a covalent compound B. Air has a definite formula O C. Pure substance made up of same kind of atoms is called element D. Smallest particle of an element is called atom
11. We will prove the following statement by mathematical induction: Let 1,2tn be n2 2 distinct lines in the plane, no two of which are parallel Then all these lines have a point in common 1. For2 the statement is true, since any 2 nonparallel lines intersect 2. Let the statement hold forno, and let us have nno 1 inesn as in the statement. By the inductive hypothesis, all these lines but the last one (i.e. the nes 1,2.n-1) have...
3. Fill in the blank with "all", "no", or "some” to make the following statements true. Note that “some” means one or more instances, but not all. • If your answer is “all”, then give a brief explanation as to why. • If your answer is “no”, then give a brief explanation as to why. • If your answer is “some”, then give two specific examples that illustrate why your answer it not “all” or “no”. An example must include...
Question 1 The following conditional statement is true If it is raining outside, then the grass is wet Which of the following statements must also be true? a) OIf it is raining outside, then the grass is not wet. b) OIf it is not raining outside, then the grass is not wet If the grass is wet, then it is raining outside. c) d) If the grass is not wet, then it is not raining outside. e) None of the...
Choose the INCORRECT statement out of the given statements. Select one: A. Sulfur hexafluoride is a covalent compound B. Air has a definite formula O C. Pure substance made up of same kind of atoms is called element D. Smallest particle of an element is called atom
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