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    Set Theory Workshop No.2: Math 7 Grade

    Uploaded by

    Jose Arturo Gonzalez Gomez
    The document is about identifying equal and equivalent sets from various examples given. It provides examples of sets and asks the reader to identify which sets are equal and which are equivalent. The examples cover topics like identifying equal sets based on their elements, determining if sets are equal based on their definitions, finding the cardinal number of sets, and stating whether pairs of sets are equal or equivalent.

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    Set Theory Workshop No.2: Math 7 Grade

    Uploaded by

    Jose Arturo Gonzalez Gomez
    130 views2 pages
    The document is about identifying equal and equivalent sets from various examples given. It provides examples of sets and asks the reader to identify which sets are equal and which are equivalent. The examples cover topics like identifying equal sets based on their elements, determining if sets are equal based on their definitions, finding the cardinal number of sets, and stating whether pairs of sets are equal or equivalent.

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    Set Theory Workshop No.2

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    The document is about identifying equal and equivalent sets from various examples given. It provides examples of sets and asks the reader to identify which sets are equal and which are equivalent. The examples cover topics like identifying equal sets based on their elements, determining if sets are equal based on their definitions, finding the cardinal number of sets, and stating whether pairs of sets are equal or equivalent.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    130 views2 pages

    Set Theory Workshop No.2: Math 7 Grade

    Uploaded by

    Jose Arturo Gonzalez Gomez
    The document is about identifying equal and equivalent sets from various examples given. It provides examples of sets and asks the reader to identify which sets are equal and which are equivalent. The examples cover topics like identifying equal sets based on their elements, determining if sets are equal based on their definitions, finding the cardinal number of sets, and stating whether pairs of sets are equal or equivalent.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 2

    Set Theory Workshop No.

    2
    Math 7th Grade
    (Equal Sets and Equivalent Sets)

    1. From the sets (10 of them) given below, identify the equal sets.

    A = {3, 5, 9, 11} Q = {m, s, t} R = {o, p, a, z}

    B = {8, 9, 1, 13} T = {1, 8, 9, 13} P = {9, 3, 5, 11}

    C = {-3, 3} X = {a, o, z, p} D = {s, t, m} M = {3, -3}

    2. Are the following pairs of sets equal?

    (a) A = {2} B = {x : x ∈ N, x is an even prime number}.


    (b) P = {1, 4, 9} Q = {x : x = n2, n ∈ N, n ≤ 3)
    (c) X = {x : x ∈ W, x < 5} Y = {x : x ∈ N, x ≤ 5}
    (d) M = {a, b, c, d} N = {p, q, r, s}
    (e) D = {x : x is a multiple of 30} E = {x : x is a factor of 10}

    3. Which of the following are equivalent sets?

    (a) A = {1, 2, 3} B = {4, 5}


    (b) P = {q, s, m} Q = {6, 9, 12}
    (c) X = {x : x is a prime number less than 10} Y = {x : x ∈ N, x ≤ 4}
    (d) R = {x : x = 2n + 3, n < 4, n ∈ N} S = {x : x = n/(n + 1), n ∈ R, n ≤ 4}
    (e) V = {Set of vowels in the English alphabet} C = {Set of consonants in the
    English alphabet}

    4. Find the cardinal number (number of elements) of the following sets.

    (a) A = {x : x ∈ I, 2 < x < 7}


    (b) B = {x : n ∈ N, x = n2, n < 3}
    (c) The set of months in a year
    (d) C = {x : x ∈ Z+, x < 100}
    (e) D = {x : x = n3, n ∈ W, n < 5}
    (f) The set of letters in the word MALAYALAM
    5. State, whether each pair of sets, given below, are equal sets or equivalent sets:

    (a) {3, 5, 7} and {5, 3, 7}


    (b) {8, 6, 10, 12} and {3, 2, 4, 6}
    (c) {7, 7, 2, 1, 2} and {1, 2, 7}
    (d) {1 4, 9, 16, 25} and {12, 22, 32, 42, 52}
    (e) {x : x is an odd natural number less than 8} and {x : x is a letter in the word ‘girl’}
    (f) {2, 4, 6, 8, 1} and {a, b, d, e, m}
    (g) {5, 5, 2, 4} and {5, 4, 2, 2}
    (h) {x : x is a letter in the word STRAND} and {x : x is a letter in the word STANDARD}
    (i) {x : x is a month having 33 days} and {x : x is a year having 360 days }
    (j) {x : x = p + 2, p ∈ N and p < 5} and {13, 14, 15, 16}

    6. State, if the given pairs of sets are equal sets or equivalent sets:

    (a) {Natural numbers less than five} and {Letters of the word ‘BOAT’}
    (b) {2, 4, 6, 8, 10} and {even natural numbers less than 12}
    (c) {a, b, c, d} and {∆, ○, □, ∇}
    (d) {Days of the week} and {Letters of the word ‘HONESTY}
    (e) {1, 3, 5, 7, ……} and set of odd natural numbers.
    (f) {Letters of the word ‘MEMBER’} and {Letters of the word ‘REMEMBER’}
    (g) {Negative natural numbers} and {50th day of a month}
    (h) {Even natural numbers} and {Odd natural numbers}

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