Question: I need help solving question 1 in the picture about equivalence relation, thank you. The question is: Is the relation x+y is divisible by 4

I need help solving question 1 in the picture about equivalence relation, thank you. The question is: Is the relation x+y is divisible by 4 is it reflexive, symmetric, transitive, and equivalence relation? Prove each case.

K If ( Pillar and ( qj Jj=1 are sequences of primes such that IT Pj = IT gig then there is some me ? such that Is MEK and! Pm = 91 . 1 ) Define the relation ~ on I by xay if *ty is divisible by 4 . Is the relation ~ reflexive ? symmetric ? transitive ?\\ an equivalence relation ? prove each

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