If n is divisible by both 4 and 6, then is it also divisible by 4 x 6?
A student claims that if an integer n is divisible by both 4 and 6 then the number is divisible by 4 x 6 = 24.
a) Disprove this claim by finding a counterexample.
b) Explain what has gone wrong, and determine the correct conclusion.
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