a Explanation Given information : The following statements have been given Spoof is a set of all purrs Spoof contains at least two different distinct purrs Every lilt is a set of purrs and contains at least two distinct purrs If A and B are two any distinct purrs, there is one and only one lilt that contains them No lilt contains all the purrs Proof : The following statements are to be proven Statement i : There is at least one lilt From the above statements, if purrs exist, then lilt will exist Hence, the statement is proved to be true Statement ii : There are at least three purrs Using the given statement “No lilt contains all the purrs”, we can say that lilts have to be more than one Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that there are at least two purrs in one lilt Using our both previous arguments, we can say that that there are at least three purrs Hence, the statement is proved to be true Statement iii : There are at least three lilts Using the given statement “No lilt contains all the purrs”, we can say that lilts have to be more than one Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that lilts have to be more than two Hence, the statement is proved to be true b To determine To Find : The stated case has to be found where the lilts girt and mirt are not same Answer The found condition is that pil and til are the only two purrs Explanation Given information : The information can be decoded from the given statements g i r t ∈ ( p i l , t i l ) m i r t ∈ ( p i l , t i l ) Calculation : we use the following statement Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that only one of girt or mirt can contain these two elements unless these are the only two purrs present Hence, the found condition is that pil and til are the only two purrs

91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

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Question

Chapter 1.7, Problem 13PSC

To determine

To Show: The statements given are true is to be proved

Expert Solution

Explanation of Solution

Given information: The following statements have been given

Spoof is a set of all purrs
Spoof contains at least two different distinct purrs
Every lilt is a set of purrs and contains at least two distinct purrs
If A and B are two any distinct purrs, there is one and only one lilt that contains them
No lilt contains all the purrs

Proof: The following statements are to be proven

Statement i : There is at least one lilt

From the above statements, if purrs exist, then lilt will exist

Hence, the statement is proved to be true

Statement ii : There are at least three purrs

Using the given statement “No lilt contains all the purrs”, we can say that lilts have to be more than one
Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that there are at least two purrs in one lilt
Using our both previous arguments, we can say that that there are at least three purrs
Hence, the statement is proved to be true

Statement iii : There are at least three lilts

Using the given statement “No lilt contains all the purrs”, we can say that lilts have to be more than one
Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that lilts have to be more than two
Hence, the statement is proved to be true

To determine

To Find: The stated case has to be found where the lilts girt and mirt are not same

Expert Solution

Answer to Problem 13PSC

The found condition is that pil and til are the only two purrs

Explanation of Solution

Given information: The information can be decoded from the given statements

girt∈(pil,til)

mirt∈(pil,til)

Calculation: we use the following statement

Using the given statement “If A and B are two any distinct purrs, there is one and only one lilt that contains them”, we can say that only one of girt or mirt can contain these two elements unless these are the only two purrs present

Hence, the found condition is that pil and til are the only two purrs

Chapter 1.7, Problem 12PSB

Chapter 1.7, Problem 14PSC

Chapter 1 Solutions

Geometry For Enjoyment And Challenge

Ch. 1.1 - Prob. 1PSA Ch. 1.1 - Prob. 2PSA Ch. 1.1 - Prob. 3PSA Ch. 1.1 - Prob. 4PSA Ch. 1.1 - Prob. 5PSA Ch. 1.1 - Prob. 6PSA Ch. 1.1 - Prob. 7PSA Ch. 1.1 - Prob. 8PSA Ch. 1.1 - Prob. 9PSA Ch. 1.1 - Prob. 10PSA

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