Math Problem Statement
For a, b ∈ Z, aRb if and only if 2a + 5b is divisible by 7 then is relation R is an equivalence relation on Z? Is R Anti- symmetric? Justify.
Solution
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Math Problem Analysis
Mathematical Concepts
Equivalence Relations
Modular Arithmetic
Formulas
Modulo operation
Theorems
Properties of Equivalence Relations
Suitable Grade Level
Advanced Undergraduate
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