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descrete mathematical structures

GIVEN s={1,32,3,.............,10} and relation R on S

(a) Where R= {(X,Y)/X+Y=10}. WHAT ARE THE PROPERTIES ON RELATION R.(b) explain adjacency and incidency

Posted in Math, asked by raghavendra prasad, 6 years ago. 2651 hits.

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a)  A relation R on S is called symmetric if (x,y) belongs to R whenever (y,x) belongs to R, for all x,y belongs to S. 

here you can see that,

(1,9)(9,1)(2,8)(8,2)(3,7)(7,3)(4,6)(6,4)(5,5)

(1,9) belongs to R whenever (9,1) belongs to R. It is true for all numbers from 1 to 10.

so, Its a symmetric relation.

Ammara Hassan
Ammara Hassan - 6 years ago
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