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Worksheet-Representing-Sets

Probability Introduction :

Let us work few exercise question regarding Representations of sets in this Worksheet-Representing-Sets .

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Exercise 1.1

3)Write the following in roster form :

    i) A= { x : x is an integer and -3<x<7}

    solution:

     A={ -2, -1, 0, 1, 2, 3, 4, 5,6}

    ii)B= {x: x is a natural number less than 6}

    Solution:

    B= { 1,2,3,4,5}

   iii) C= { x: x is a two digit natural number such that the sum of its         digits is 8}

     Solution:

     C= {17, 26, 35, 44,53, 62, 71, 80}

    iv) D = { x: x is a prime number which is a divisor of 60}

    Solution :

    D= {2, 3, 5 }

    v) E= The set of all letters in the word TRIGONOMETRY .

     Solution:

     E= { T, R, I, G, O, N, M, E, Y}

     vi) F= The set of all letters in the word BETTER.

      solution:

      F= { B, E, T, R }

4. Write the following in set builder form:

    i) {3,6,9,12}

    solution:

     {x: x=3n, n is natural number less than 5}

    ii){2, 4, 8, 16, 32}

     Solution :

      { x: x=2^n, n is natural number less than 6}

    iii){5, 25, 125, 625}

     Solution :

     {x: x=5^n , n is natural number less than 5}

     iv){2, 4, 6, ..........}

     Solution:

     {x: x is even natural number}

     v){1, 4, 9, .....100}

     Solution :

     {x:x=n^2, n is natural number < 11}

5. List all the element of the following sets:

     i) A= {x: x is an odd natural number }

     Solution:

        A= { 1, 3, 5, 7.........}

         ii) B = {x: x is an integer, \(\frac{-1}{2}<x<\frac{9}{2}\)

          Solution:

             B= {0, 1,2, 3, 4}

          iii) C={ x : x is an integer, \(x^{2}\leq4\)}

           solution :

             C= {-2, -1, 0, 1, 2 }

          iv)D={x: x is a letter in the word " LOYAL"}

           Solution:

             D={L, O, Y, A}

          v)E={x: x is a month of a year not having 31 days }

          Solution:

             E= { Feb, Apr, June, Sep, Nov}

         

 

         


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