Answer:
Converse
In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements.
Inverse
In mathematics, an inverse function is a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, i.e., g(y) = x if and only if f(x) = y. The inverse function of f is also denoted as f^{-1}.
contrapositive statement
The contrapositive of a conditional statement is a combination of the converse and the inverse. The “If” part or p is replaced with the “then” part or q and the “then” part or q is replaced with the “If” part or p.
Step-by-step explanation:
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Answer:
The converse statement is notated as q\rightarrow p. The original statements switch positions in the original “if-then” statement.
The inverse statement assumes the opposite of each of the original statements and is notated \sim p\rightarrow \sim q.
a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them "if not-B then not-A " is the contrapositive of "if A then B "
Step-by-step explanation:
