Hello , I am stuck on this problem and I am looking for someone who can help me find the solution and understand the method , please if anyone could help , please provide with an explanation and the solution . This problem consinsts of 3 statements which they are either true or false , I need an explanation of how they are true or false , not just the answer ! . Please anyone would help with correct solution and explanation , I will give 5 stars !!
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TTF
Step-by-step explanation:
(i)if a = b (mod n) ,
a-b = 0 (mod n) ----------- Eqn 1
similarly, b-c = 0 (mod n) ------- Eqn 2
Adding eqn 1 and 2,
a-c = 0 (mod n)
which is a = c (mod n)
(ii) a = b (mod n)
and c = d (mod n)
Adding the equations,
a + b = c + d (mod n)
(iii) a number 7x is always divisible by 7 hence
7x = 0 (mod 7)
Therefore the given statement is false
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