What is a conditional and converse statement?

A conditional statement is logically equivalent to its contrapositive . Converse: Suppose a conditional statement of the form “If p then q” is given. The converse is “If q then p.” Symbolically, the converse of p q is q p.

To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of “If it rains, then they cancel school” is “If they cancel school, then it rains.”

The converse of a statement is Formed by switching the hypothesis and the conclusion. The converse of “If two lines don’t intersect, then they are parallel” is “If two lines are parallel, then they don’t intersect.” The converse of “if p, then q” is “if q, then p.”

Definition. A conditional statement is A statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Conditional Statements : if, else, switch

• If statement.
• If-Else statement.
• Nested If-else statement.
• If-Else If ladder.
• Switch statement.

Conditional Statements : if, else, switch

• If statement.
• If-Else statement.
• Nested If-else statement.
• If-Else If ladder.
• Switch statement.

If a conditional and it’s converse are always true, the statement is called A biconditional.

The converse of the conditional statement is “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.”

Look at the following examples: If you had told me you needed a ride, I would have left earlier. If I had cleaned the house, I could have gone to the movies. These sentences express a condition that was likely enough, but did not actually happen in the past.

A conditional sentence is Based on the word ‘if’. There are always two parts to a conditional sentence – one part beginning with ‘if’ to describe a possible situation, and the second part which describes the consequence. For example: If it rains, we’ll get wet.

Conditional statements are The way computers can make decisions. Conditional statements always have an if part, which tells the app what to do when the condition is true. Conditional statements also usually have an else part, which tells the app what to do when the condition is false.

Conditional Statement A conditional statement is a logical statement that has two parts, A hypothesis p and a conclusion q. When a conditional statement is written in if-then form, the “if” part contains the hypothesis and the “then” part contains the conclusion.

In Geometry, conditional statements, which are also called “If-Then” statements, are written in the form: If p, then q. Mathematicians will also use logic symbols to indicate a conditional statement, using an arrow to replace the words “if” and “then.” The sentence below is read “p implies q.”

The converse is also true. Since both the conditional and its converse are true, you can combine them in a true biconditional by using the phrase If and only if. Biconditional Two angles have the same measure if and only if the angles are congruent. Consider this true conditional statement.

The converse of the conditional statement is “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.”

D) “I will not play ice hockey tomorrow only if it ices today.” Explanation: If p, then q has converse Q → p.

Definition: Contrapositive is exchanging the hypothesis and conclusion of a conditional statement and negating both hypothesis and conclusion. For example the contrapositive of “if A then B” is “if not-B then not-A”. The contrapositive of a conditional statement is a combination of the converse and inverse.