Question: When proving theorems, mathematicians consider most frequently four statements: the conditional statement the converse to the conditional statement the inverse the contrapositive Among those four

When proving theorems, mathematicians consider most frequently four statements:

  1. the conditional statement
  2. the converse to the conditional statement
  3. the inverse
  4. the contrapositive

Among those four statements, which ones require negation of parts, or all, of the conditional statement? When negating a statement, for which keywords must you search? How are they negated?

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