Determine if the following statement is true or false.
A theorem cannot have counterexamples.
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Part 1
Choose the correct answer below.
A.
​True, a theorem is based on deductive reasoning and cannot have counterexamples.
B.
​False, although a theorem cannot be strengthened by additional​ information, but it can be proven false by a counterexample.
C.
​True, a theorem is based on inductive reasoning and cannot have counterexamples.
D.
​False, a theorem is a conjecture that can be strengthened by additional information or proven to be false by a counterexample.