# Confusing Conditional Statements

## What are examples of conditional statements?

Conditional Statement Examples

• If my cat is hungry, then she will rub my leg.
• If a polygon has exactly four sides, then it is a quadrilateral.
• If triangles are congruent, then they have equal corresponding angles.

## What are the 5 conditional statements?

5 Types of Conditional Sentences

Conditional sentence type When to use
Type 1 A possible situation and the result
Type 2 A hypothetical condition and its possible result
Type 3 An impossible past situation and its result in the past
Mixed Conditionals An impossible past situation and its result in the present

## What is an example of a false conditional statement?

A conditional statement is false if hypothesis is true and the conclusion is false. The example above would be false if it said “if you get good grades then you will not get into a good college“.

## What are the 3 conditional statements?

Conditional Statements : if, else, switch

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

## What are the four types of conditional sentences?

There are 4 basic types of conditionals: zero, first, second, and third. It’s also possible to mix them up and use the first part of a sentence as one type of conditional and the second part as another. These sentences would be called “mixed conditionals.”

## What is an example of an if-then statement?

In if-then form, the statement is If Sally is hungry, then she eats a snack. The hypothesis is Sally is hungry and the conclusion is she eats a snack.

## What is a converse conditional 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. A conditional statement is not logically equivalent to its converse.

## What are the different conditional statements in C language?

Comparison Operators

Operator name Usage Result
Greater Than or Equal To a >= b True if a is greater than or equal to b , false otherwise
Less Than a < b True if a is less than b , false otherwise
Less Than or Equal To a <= b True if a is less than or equal to b , false otherwise

## Is converse true or false?

If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
Converse, Inverse, Contrapositive.

Statement If p , then q .
Converse If q , then p .
Inverse If not p , then not q .
Contrapositive If not q , then not p .

## What is converse inverse and contrapositive 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.”

## What is a contrapositive statement?

Definition of contrapositive

: 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 “

## What is converse and inverse?

The converse statement is notated as q→p (if q, then 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 ∼p→∼q (if not p, then not q).

## What is inversion logic?

In logic, an inverse is a type of conditional sentence which is an immediate inference made from another conditional sentence. More specifically, given a conditional sentence of the form , the inverse refers to the sentence. .

## Why is the contrapositive true?

If a statement is true, then its contrapositive is true (and vice versa). If a statement is false, then its contrapositive is false (and vice versa). If a statement’s inverse is true, then its converse is true (and vice versa). If a statement’s inverse is false, then its converse is false (and vice versa).

## Is negation the same as inverse?

Let p be the “it is raining” and q be “the sun shining”. Then the given statement is p⟹(∼q). The negation is (p∧∼(∼q)), and could be read as “It is raining and the sun shining”. The inverse is ∼p⟹∼(∼q) and could be read “If it is not raining, then the sun is shining.”

## What is a converse statement?

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.”

## What is disjunction in discrete mathematics?

Definition: A disjunction is a compound statement formed by joining two statements with the connector OR. The disjunction “p or q” is symbolized by p q. A disjunction is false if and only if both statements are false; otherwise it is true.