Answer to Question #328625 in Discrete Mathematics for Niknik

Question

2. A low pressure area implies a coming stormconverse, inverse and contra positive 

Answer 1

Let's denote the statement: "There is a low pressure area" as $p$ and "The storm will come" as $q$. Then the statement "A low pressure area implies a coming storm" will be written as follows:

$$p\to q$$

The converse of this statement is:

$$q\to p$$

or:

"The coming storm implies a low pressure area".

The inverse of this statement is:

$$\neg p \to \neg q$$

or:

"A high or normal pressure area implies an absence of a storm".

The contrapositive of this statement:

$$\neg q \to \neg p$$

or:

"An absence of a storm implies a high or normal pressure area".