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if a.b is 0 and b.c is 0 then what is a.c?
List the ordered pairs in the relation R from A={0, 1, 2, 3, 4} to B={0, 1, 2, 3} where (a, b) ∈ R if and only if
1-a+b=4  R1
2-a=2b  R2
3-Find R1 R2 and R2-1
prove that the fourth root of unity 1,-1,i,-i from an abelian multiplicative group.
Two dice are rolled, one blue and one red. How many outcomes are possible?
Two dice are rolled,one blue and one red.How many outcomes are possible?
The graph of {(x, 1/x) | x ≠0, x εR} is known as
prove that the relation R on Z defined by xRy if only if x≡y(mod) is transitive



prove that the relation R on Z defined by xRy if only if x≡y(mod) is transitive
What is the original message encrypted using the RSA system with n = 53 * 61 and e = 17 if the encrypted message is 3185 2038 2460 2550? (To decrypt, First find the decryption exponent d, which is the inverst of e = 13 modulo 42 * 58.)
Prove or disprove: For x, y ϵ R, if x is rational and y is irrational, then xy is irrational.



Detailed explanation: YES
let A,B and C be sets. show that (A-B)-C=(A-C)-(B-C)
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