Note: Exercises preceded by an asterisk are of a more challenging nature.
In Exercises 1 to 4, write the converse, the inverse, and the contrapositive of each statement. When possible, classify the statement as true or false.
If
To find:
The converse, the inverse, and the contrapositive of each statement.
Given:
The given statement is,
If
Approach:
Conditional (or Implication) | If P, then Q. | |
Converse of conditional | If Q, then P. | |
Inverse of conditional | If not P, then not Q. | |
Contrapositive of conditional | If not Q, then not P. |
Consider the given statement,
If
The given statement is in “if P, then Q” form.
Here P is
Converse of conditional statement is,
If
This statement is false because
Inverse of conditional is,
If
This statement is false because
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