Answer :
Final answer:
The converse of the statement 'If x equals 5, then 3x-6 equals 9' would be 'If 3x-6 equals 9, then x equals 5'. This is based on mathematics logic where the converse of 'If p then q' is 'If q then p'. The truthfulness of a statement doesn't assure the truthfulness of its converse.
Explanation:
The question is asking for the converse of a statement in the form of 'If p, then q'. Here p is 'x equals 5' and q is '3x - 6 equals 9'. The converse of this statement is, we restate this implication in reverse order. Thus, the converse of 'If x equals 5, then 3x-6 equals 9' would be: 'If 3x - 6 equals 9, then x equals 5'.
This comes from the properties of conditional statements in logic, where the converse of a statement 'If p then q' is 'If q then p'. These sort of logical arguments are also known as disjunctive syllogism.
However, it's important to note that a statement and its converse do not necessarily have the same truth value. In other words, even if the original statement is true, its converse might not be true, and vice versa.
Learn more about Logical Converse here:
https://brainly.com/question/18152035
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