2. Write the following sets in tabular form. a) {x: x = 2n, ne N and x < 10}​

Question

2. Write the following sets in tabular form.
a) {x: x = 2n, ne N and x < 10}​

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Evelyn 3 months 2021-11-06T16:58:36+00:00 1 Answer 0 views 0

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    2021-11-06T16:59:58+00:00

    Answer :

    A = { 2 , 4 , 6 , 8 }

    Note :

    ★ Set : A well defined collection of distinct objects is called a set .

    ★ Method of representing a set :

    a). Roster / Tabular / Listed form

    b). Set Builder form

    ★ Roster form :

    → All elements are listed .

    → Elements are separated by commas .

    → Elements are enclosed within braces { } .

    → The order of writing elements doesn’t matter .

    → The elements are not repeated

    ★ Set builder form :

    → The common properties of elements are written .

    → The elements is described using symbols like x , y , z (mostly x) .

    → Whole description of the elements are enclosed within braces { } .

    Solution :

    The given set (in set builder form) is ;

    A = { x : x = 2n , n € N and x < 10 }

    ★ If n = 1

    => x = 2n

    => x = 2×1

    => x = 2

    ★ If n = 2

    => x = 2n

    => x = 2×2

    => x = 4

    ★ If n = 3

    => x = 2n

    => x = 2×3

    => x = 6

    ★ If n = 4

    => x = 2n

    => x = 2×4

    => x = 8

    Hence ,

    The given set in tabular form will be;

    A = { 2 , 4 , 6 , 8 }

    Note : If we would have taken n = 5 , then

    x = 2n

    x = 2×5

    x = 10

    But we have to choose x < 10 .

    Thus , we chose x = 2n for n = 1 , 2 , 3 , 4 .

    Hence ,

    A = { 2 , 4 , 6 , 8 }

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