Contents
- 1 What is the converse of the statement?
- 2 When the original statement and converse are both true?
- 3 Are the converse and the inverse true statements explain?
- 4 What is an example of a converse statement?
- 5 What is a true converse?
- 6 How long do converse last?
- 7 Which is the converse of the original statement?
- 8 Why do contrapositive and converse proofs work?
- 9 How is the word Converse used in math?
What is the converse of the statement?
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. To get the converse, simply switch the hypothesis and conclusion.
When the original statement and converse are both true?
when two statements are both true or both false. When the converse and inverse of a conditional statement are either both true or both false, then these pairs of statements are called equivalent statements.
How do you know if a converse is true or false?
The lines should never be wobbly. If you have a pair with a line that stops and starts again then this is a problem. The toe cap will be in sturdy rubber and will be completely straight where it meets the lacing. The toe cap on an authentic pair of Converse should not be curved towards the tongue of the shoe at all.
Are the converse and the inverse true statements explain?
Answer Expert Verified. Answer: The converse statement is “If you were born on Earth, then you are human” – false. The inverse statement is “If you not a human, then you were not born on Earth” – false.
What is an example of a converse statement?
A converse statement is gotten by exchanging the positions of ‘p’ and ‘q’ in the given condition. For example, “If Cliff is thirsty, then she drinks water” is a condition. The converse statement is “If Cliff drinks water, then she is thirsty.”
What is a converse example?
For example, consider the statement, “If it is raining, then the grass is wet” to be TRUE. Likewise, the converse statement, “If the grass is wet, then it is raining” is logically equivalent to the inverse statement, “If it is NOT raining, then the grass is NOT wet.”
What is a true converse?
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. Either way, the truth of the converse is generally independent from that of the original statement.
How long do converse last?
A pair of Converse will typically last 18 months on average. They have been reported to last longer if they aren’t worn on the daily or if the wearer’s footfall is not severe in any way.
What is the converse of a contrapositive statement?
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 . |
Which is the converse of the original statement?
A converse is when you switch the hypothesis and the conclusion. Original statement: If an number is even (Hypothesis) then it is divisible by two (Conclusion). This is a true statement. Converse statement: The converse is a true statement. It is important to understand the converse of a true statement sometimes is false.
Why do contrapositive and converse proofs work?
Contrapositive proofs work because if the contrapositive is true, due to logical equivalence, the original conditional statement is also true. It turns out that even though the converse and inverse are not logically equivalent to the original conditional statement, they are logically equivalent to one another. There is an easy explanation for this.
Is the converse and inverse of the conditional statement the same?
It turns out that even though the converse and inverse are not logically equivalent to the original conditional statement, they are logically equivalent to one another. There is an easy explanation for this. We start with the conditional statement “If Q then P ”.
How is the word Converse used in math?
You may know the word converse for a verb meaning to chat, or for a noun as a particular brand of footwear. Neither of those is how mathematicians use converse. Converse and inverse are connected concepts in making conditional statements. To create the converse of a conditional statement, switch the hypothesis and conclusion.