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| Relations |
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 A relation R is a non-empty sub-set of a cartesian product. |
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A relation is a set of ordered pairs, i.e., R Ì A
x B where A and B are two non-empty sets. If R is a relation, write x R y or (x, y)  R and we say x is R-related to y. |
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| Iff x R y |
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 Domain of a relation is the set of all first components. |
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 Range of a relation is the set of all second components. |
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| Examples: |
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| a) "x is less than y" |
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| b) " x is greater than y" |
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| c) "x is multiple of 3" |
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| d) "x divides y" |
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| e) "Cube of x plus the square of y is 25" |
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| f) "Triangle x is congruent to triangle y " |
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