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vitfil [10]
3 years ago
7

Consider Statement 1: All prime numbers greater than 3 are equal to a multiple of six, plus 1 or minus 1. Let P(x) be the statem

ent "x is a prime number." Let Q(x) be the statement "x is greater than 3." Let R(x) be the statement "x % 6 = 1 or x % 6 = 5." (i.e. x is a multiple of 6, plus or minus 1)
Let U be the domain of x. (% represents the modulo operation in this question.)

a. Given the following definitions of U, translate the above statement into an expression of predicate logic.

i. U = all prime numbers greater than 3.

ii. U = all prime numbers.

iii. U = all positive integers.
Computers and Technology
1 answer:
LUCKY_DIMON [66]3 years ago
3 0

Answer:

Explanation: P(x): Prime number; Q(x): Prime number greater than 3; R(x): Positive integer and U(x): All prime numbers

i) {∀x) (Q(x) ⇒  (U(x)}

ii) {∀x) (P(x) ⇒ (U(x)}

iii) {∀x) (R(x) ⇒(U(x)}  

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If the object instance is created in a user program, then the object instance can access both the public and private members of
rewona [7]

Answer:

False

Explanation:

The private member of a class is not accessible by using the Dot notation ,however the private member are those which are not accessible inside the class they are accessible outside the class  .The public member are accessible inside the class so they are accessible by using the dot operator .

<u>Following are the example is given below in C++ Language </u>

#include<iostream>   // header file

using namespace std;  

class Rectangle

{    

   private:  

       double r; // private member  

   public:      

       double  area()  

       {     return 3.14*r*r;  

       }        

};  

int main()  

{    

  Rectangle r1;// creating the object  

   r1.r = 3.5;  

 double t= r1.area(); // calling

cout<<" Area is:"<<t;  

   return 0;  

}  

Output:

compile time error is generated

<u>The correct program to access the private member of class is given below </u>

#include<iostream>   // header file

using namespace std;  

class Rectangle

{    

   private:  

       double r; // private member  

   public:      

       double  area()  

       {    

r1=r;

double t2=3.14*r2*r2;

return(t2); // return the value  

       }        

};  

int main()  

{    

  Rectangle r1;// creating the object  

   r1.r = 1.5;  

 double t= r1.area(); // calling

cout<<" Area is:"<<t;  

   return 0;  

}  

Therefore the given statement is False

5 0
3 years ago
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