Answer
For a true conditional statement, the converse may be true or it may be false.
Likewise, the inverse of a true conditional statement may be true or may be false.
Work Step by Step
For a true conditional statement,the converse may be true or it may be false.
Likewise,the inverse of a true conditional statement may be true or may be false.
Example:
Take a conditional statement,“If a figure is a square then it is a quadrilateral”.
If a figure is square, then it must be quadrilateral. So, the conditional statement is true.
The converse of the statement is “If a figure is a quadrilateral then it is a square”.
The converse statement is not necessarily true because if a figure is a square it may be rectangle, trapezium, isosceles trapezium or a square.
The inverse of the statement is “If a figure is not a square then it is not quadrilateral”.
The inverse is not necessarily true because, if a figure is not a square then it may be rectangle, or a trapezium.
Thus, from the above example, it can be understood that converse and inverse of a true conditional statement are not necessarily true.
