All ((x1y1),(x1,y1)) are in R where x1,y1∈N∴R is reflexive ((1,1),(2,3))∈R but ((2,3),(1,1))∈/R ∴R is not symmetric ((2,4),(3,3))∈R and ((3,3),(1,3))∈R but ((2,4), (1,3))∈/R ∴R is not transitive
Let a relation R on N×N be defined as: (x1,y1)R(x2,y2) if and only if x1≤x2 or y1≤y2. Consider the two statements: (I) R is reflexive but not symmetric. (II) R is transitive Then which one of the following is true?
Held on 4 Apr 2024 · Verified 6 Jul 2026.
Both (I) and (II) are correct.
Only (II) is correct.
Neither (I) nor (II) is correct.
Only (I) is correct.
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