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blackstreet23

  • one year ago

Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all (x, y) ∈ A × B, (x, y) ∈ R means that x ≥ y. (x, y) ∈ S means that x − y/ 2 is an integer. T = {(4, 7), (6, 5), (6, 7)}. a. Draw arrow diagrams for R, S, and T . b. Indicate whether any of the relations R, S, and T are functions.

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  1. jim_thompson5910
    • one year ago
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    Do you know what the notation `(x, y) ∈ A × B` means?

  2. blackstreet23
    • one year ago
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    yes

  3. blackstreet23
    • one year ago
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    coordinates that belong to the cross section of A and b

  4. blackstreet23
    • one year ago
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    or maybe not lol. Could you explain just in case i may have a gap with that

  5. blackstreet23
    • one year ago
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    @jim_thompson5910

  6. jim_thompson5910
    • one year ago
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    A X B is a set of all ordered pairs (x,y) such that x is in A, y is in B what I like to do is make a table that is 3x3. 3 rows because there are 3 elements in B 3 columns because there are 3 elements in A along the top, I put the elements of set A along the left side, I put the elements of set B |dw:1443397063622:dw|

  7. blackstreet23
    • one year ago
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    I got R correctly. but i dont get the right answer for S

  8. blackstreet23
    • one year ago
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    For R i just followed the condition

  9. jim_thompson5910
    • one year ago
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    actually it might be better to swap the places of A and B |dw:1443397190016:dw|

  10. jim_thompson5910
    • one year ago
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    to fill out this table, we simply list the points (x,y) where x comes from A, y comes from B eg: (4,5) goes in the top left because we have 4 from A, and 5 from B |dw:1443397266909:dw|

  11. jim_thompson5910
    • one year ago
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    are you able to fill out the rest of this table?

  12. blackstreet23
    • one year ago
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    yes i think i got it. Thanks you a lot !

  13. jim_thompson5910
    • one year ago
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    ok tell me what you get

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