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.
Is a converse statement always true? If the statement is true , then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
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Example 1:
| Statement | If two angles are congruent, then they have the same measure. |
|---|---|
| Converse | If two angles have the same measure, then they are congruent. |
Similarly, What is an example of an inverse statement? Our inverse statement would be: “If it is NOT raining, then the grass is NOT wet.” Our contrapositive statement would be: “If the grass is NOT wet, then it is NOT raining.”
What is an example of a contrapositive statement?
Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of « If it is raining then the grass is wet » is « If the grass is not wet then it is not raining. »
How can you apply conditional statements in your everyday life?
Conditionals in everyday life
- Conditionals in everyday life! …
- If it rains tomorrow, we’ll stay at home.
- If my brother doesn’t study, he won’t pass the exam.
- If I finish my homework I’ll watch TV.
- I’ll go to the supermarket If we have guests.
- I’ll call a doctor, If my mother doesn’t feel well.
- I’ll have to work If I want Money.
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 converse math? In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. For the implication P → Q, the converse is Q → P.
What does converse of a statement mean? 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 converse proposition?
converse, in logic, the proposition resulting from an interchange of subject and predicate with each other. Thus, the converse of “No man is a pencil” is “No pencil is a man.” In traditional syllogistics, generally only E (universal negative) and I (particular affirmative) propositions yield a valid converse.
What is inversion logic? Inversion. Conversion is the formulation of a new proposition by interchanging the subject and predicate of an original proposition but leaving its quality unchanged.
What’s the converse in geometry?
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.
What’s 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 in math?
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. »
Why are conditional statements used?
Conditional statements are used through the various programming languages to instruct the computer on the decision to make when given some conditions. These decisions are made if and only if the pre-stated conditions are either true or false , depending on the functions the programmer has in mind.
Is a conditional statement an argument? A conditional is a type of proposition. An argument is an ordered series of propositions from premises to conclusion. Thus a conditional is not by itself an argument but rather it can be the premise or the conclusion of an argument.
What is detachment law example?
A real life example of the law of detachment
You will make the conclusion that your car will not start. The statement » If the battery of a car is dead, then the car will not start » is a conditional statement. Let p = the battery of a car is dead. Let q = the car will not start.
What is modus tollens example?
Latin for « method of denying. » A rule of inference drawn from the combination of modus ponens and the contrapositive.
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| Modus Ponens | Modus Tollens |
|---|---|
| It is bright and sunny today. | I will not wear my sunglasses. |
| Therefore, I will wear my sunglasses. | Therefore, it is not bright and sunny today. |
What is the law of Detachment? The Law of Detachment states that in order to manifest our desires, we must release attachment to the outcome itself as well as the path we might take to get there.
What is tautology math?
Tautology in Math. A tautology is a compound statement in Maths which always results in Truth value. It doesn’t matter what the individual part consists of, the result in tautology is always true.
What does this P → Q mean? In conditional statements, « If p then q » is denoted symbolically by « p q »; p is called the hypothesis and q is called the conclusion. For instance, consider the two following statements: If Sally passes the exam, then she will get the job. If 144 is divisible by 12, 144 is divisible by 3.
What’s an inverse in math?
Inverse operationsare pairs of mathematical manipulations in which one operation undoes the action of the other—for example, addition and subtraction, multiplication and division. The inverse of a number usually means its reciprocal, i.e. x – 1 = 1 / x . The product of a number and its inverse (reciprocal) equals 1.
What is contrapositive of a statement? In logic and mathematics, contraposition refers to the inference of going from a conditional statement into its logically equivalent contrapositive, and an associated proof method known as proof by contraposition. The contrapositive of a statement has its antecedent and consequent inverted and flipped.