Prove or disprove: a) For all integers a, b, c, if a | b and b | c then a | c. b) For all integers …

Prove or disprove: a) For all integers a, b, c, if a | b and b | c then a | c. b) For all integers a, b, c, d, if a | b and c | d, then (ac) | (b + d). c) For all integers a, b, c, if a | (b + c), then a | b and a | c. d) For all integers a, b, c, if a | bc, then a | b or a | c. e) For all integers a, b, c, if a | c and b | c, then ab | c 2 .

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