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4 September, 07:45

Rewrite the set T = { 5a + 2b; a, b belong Z} as a list of its elements

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  1. 4 September, 11:10
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    T={ ...,-3,-2,-1,0,1,2,3,4, ... }

    Step-by-step explanation:

    We are given that T={5a+2b; a, b belongs Z}

    We have to rewrite the given set T as a list of its elements

    Substitute a=0 and b=0

    Then we get 5 (0) + 2 (0) = 0

    Substitute a=-1 and b=2 then we get

    5 (-1) + 2 (2) = -1

    Substitute a=2 and b=0

    Then, 5 (2) + 2 (0) = 10

    If a=0 and b=1

    Then, 5 (0) + 2 (1) = 2

    Substitute a=0 and b=2

    Then, 5 (0) + 2 (2) = 4

    If substitute a=1 and b=1

    5 (1) + 2 (1) = 7

    If substitute a=-1 and b=3

    Then, we get 5 (-1) + 2 (3) = 1

    Then, T={ ...,-3,-2,-1,0,1,2,3,4, ... }
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