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The relation ★ is defined on ZZ² by (x1, x2) ⋆ (Y₁, Y2) if and only if there exists a real number 0 < k ≤ 1 such that î₁
Posted: Thu Jun 30, 2022 7:42 pm
by answerhappygod
- The Relation Is Defined On Zz By X1 X2 Y Y2 If And Only If There Exists A Real Number 0 K 1 Such That I 1 (52.34 KiB) Viewed 63 times
The relation ★ is defined on ZZ² by (x1, x2) ⋆ (Y₁, Y2) if and only if there exists a real number 0 < k ≤ 1 such that î₁ y2 = kx2. For each of the following
questions, be sure to provide a proof supporting your answer. a) Is reflexive? b) Is★ symmetric? c) Is ★ anti-symmetric? d) Is transitive? e) Is an equivalence relation, a partial order, both, or neither? = ky₁ and =