To write : The converse of the given statement and tell whether the converse is true pr false.
Answer to Problem 11CT
The converse of the statement is If
Explanation of Solution
Given information :
The statement is if
Calculation :
For the conditional statement if p then q the converse is if q then p.
Therefore, for if
If
To check if converse is true, consider the following cases:
Case 1: when
Substitute
If
Thus, case 1 is true.
Case 2: when
Substitute
If
Thus, case 2 is false, as
Hence,
The converse of the statement is If
Chapter 2 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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