The statement formed when you negate the hypothesis and conclusion of a conditional statement. For Example: If you had enough sleep, then you did well on the test. The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.
You figure it out!
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
It is an example that demonstrates, by its very existence, that an assertion is false. Usually experience suggests that the assertion is true: there is a large amount of supporting "evidence" but the statement has not been proven. The counter-example, though demolishes the assertion For example: Assertion: all prime numbers are odd. Counter example: 2. It is a prime but it is not odd. Therefore the assertion is false. This was a favourite "trap" at GCSE exams in the UK. Assertion: if you divide a nuber it becomes smaller. Counter example 1: 2 divided by a half is, in fact, 4. Counter example 2: -10 divided by 2 is -5 (which is larger by being less negative).
Well first you have to read the conditional statement and find out what the hypothesis is and what the conclusion is. Next you just switch the hypothesis and conclusion and put them in an if-then statement. Example: If someone is a football player, then they are an athlete. Hypothesis: someone is a football player Conclusion: they are an athlete Converse: If someone is an athlete, then they play football. *NOTE* You are allowed to change some of the words and just because the conditional statement is true doesn't mean that the converse will be true. *Hope this helps. Sorry its kinda longer then most answers.*
An example of a conditional statement is: If I throw this ball into the air, it will come down.In "if A then B", A is the antecedent, and B is the consequent.
The statement formed when you negate the hypothesis and conclusion of a conditional statement. For Example: If you had enough sleep, then you did well on the test. The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.
Counter-example
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)
You figure it out!
Only some statements have both examples and counter examples. A sufficiently clear and unambiguous statement would not have counter examples.
A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
A counter example is a statement that shows conjecture is false.
counter example
What are conditional connectives? Explain use of conditional connectives with an example
Conditional statements are used in programming to make decisions based on certain conditions. They allow the program to execute different code blocks depending on whether a condition is true or false. Common conditional statements include if, else, and else if.
Conditional: If an angle is a straight angle, then its measurement is 180°.Converse: If the measure of an angle is 180°, then it is a straight angle.