# Confusing Conditional Statements?

Contents

## 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 are the 4 conditional statements?

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 a false conditional statement?

False: If a person is 14 years old, then the person is a freshman. I do not eat meat on religious grounds. “This is a false conditional sentence because the condition expressed in the conditional clause is known to the speaker to have already been fulfilled or realized.” They are all false conditionals.

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

Sally eats a snack if she is hungry. 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.

## How do you solve a conditional statement?

And each of these statements has two parts the if part and the then part watch as I underlined the if part of each one that underlined part is called the hypothesis.

## What are the 3 types of conditional sentences?

Conditional

Conditional sentence type Usage
Type 1 A possible condition and its probable result
Type 2 A hypothetical condition and its probable result
Type 3 An unreal past condition and its probable result in the past
Mixed type An unreal past condition and its probable result in the present

## What is a converse statement?

Definition: The converse of a conditional statement is created when the hypothesis and conclusion are reversed. In Geometry the conditional statement is referred to as p → q. The Converse is referred to as q → p.

## How many conditional sentences are there?

four

There are four main types of conditional sentences, unimaginatively named the Zero Conditional, First Conditional, Second Conditional, and Third Conditional.

## 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 is a biconditional statement?

A biconditional statement is a logic statement that includes the phrase, “if and only if,” sometimes abbreviated as “iff.” The logical biconditional comes in several different forms: p iff q. p if and only if q. p↔q.

## What is a converse and inverse statement?

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.” To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

## What is an 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 negation statement?

A negation is a refusal or denial of something. If your friend thinks you owe him five dollars and you say that you don’t, your statement is a negation. A negation is a statement that cancels out or denies another statement or action.

## 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 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. .

## Is inverse and negation the same?

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). If a statement’s negation is false, then the statement is true (and vice versa).

## When can a biconditional statement be true?

Definition: A biconditional statement is defined to be true whenever both parts have the same truth value. The biconditional operator is denoted by a double-headed arrow . The biconditional p q represents “p if and only if q,” where p is a hypothesis and q is a conclusion.

## What is the converse of if I have a Siberian Husky then I have a dog?

“If P then Q” is given by “If Q then P”. Thus, the converse of the conditional statement given in the question will be: “If I have a dog then I have a Siberian Husky”.

## What is syllogism law?

In mathematical logic, the Law of Syllogism says that if the following two statements are true: (1) If p , then q . (2) If q , then r . Then we can derive a third true statement: (3) If p , then r .

## What is the converse of if today is Monday then tomorrow is Tuesday?

Converse: If tomorrow is Tuesday, then today is Monday.

## Which of the following is the inverse of the statement if you are in love then you are inspired?

The converse of the statement: “If you are in love, then you are inspired,” is a. If you are not in love, then you are not inspired.

## What is the converse of the conditional statement if a polygon is a triangle then it has exactly three sides?

If we reverse the hypothesis and conclusion, we have ‘If a polygon is a triangle, then it has three sides. ‘ This is called the converse of a statement.