Inverse: Suppose a conditional statement of the form "If p then q" is given. The converse is "If q then p." Symbolically, the inverse of p q is q p. A conditional statement is not logically equivalent to its converse.
Our inverse statement would be The inverse of a statement is formed by reversing the hypothesis and the conclusion. The converse of "If two lines do not intersect, then they are parallel" is "If two lines are parallel, then they do not intersect". The inverse of "if p, then q" is "if q, then p".
Example: We have a conditional statement If it's raining, we won't play. Let A: it's raining and B: we won't play. So; If A is true, i.e. it is raining and B is false, i.e. we have played, then the statement A implies that B is false.
to be: "If the grass is wet, then it is raining." Our inverse statement would be: "If it is NOT raining, then the grass is NOT wet." Our contrary statement would be: "If the grass is NOT wet, then it is NOT raining."
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