Find the converse of the following statements.
"If it is raining, then the soil is wet."
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of this statement is: "If the soil is wet, then it is raining."
"If a continuous function is never 0, then it never changes it's sign."
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "If a continuous function never changes sign, then it is never 0."
If a number is divisible by 2, then it is even.
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "If a number is even, then it is divisible by 2."
If the degree of a polynomial is 2, then it is called a quadratic.
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "If a polynomial is called a quadratic, then it has degree 2."
Given two sets, if they intersect, then neither can be empty.
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "Given two sets, if neither is empty, then they must intersect".
If a number is greater than 0, then it is positive.
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "If a number is positive, then it is greater than 0."
If it is Sunday, then we don't work.
Given a conditional statement P\Rightarrow Q, the converse is Q \Rightarrow P .
The converse interchanges the hypothesis and the conclusion.
The converse of the statement is: "If we don't work, then it is Sunday."