Question: Q5. For each statement, indicate whether it is true or false. Then prove or disprove it. (a) For all S C Z, if {r E

Q5. For each statement, indicate whether it is true or false. Then prove or disprove it. (a) For all S C Z, if {r E Z: x = 2 (mod 8)} C S and {r e Z: x = 2 (mod 12) } C S, then {EZ: x= 2 (mod 4)} C S. (b) For all S C Z, if {r E Z: x = 2 (mod 4)} C S, then {x e Z: x = 2 (mod 8)} C S and {rez: x=2 (mod 12) } C S

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