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What is a math statement that must be proven before it is accepted as being true?
Theorem
What numbers are bigger than their squares?
I don't think that there is a number bigger than its square as you are timesing the number Not true. Any number between 0 and 1 is bigger than its square.
What kind of statement has the form of 'if A then B' which means if a is true then b must be true?
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.
Is this statement true or falseThis following statement is an example of the Multiplication Property of Inequality?
true
What are the steps in mathematical induction?
Step 1: Formulate the statement to be proven by induction. Step 2: Show that there is at least one value of the natural numbers, n, for which the statement is true. Step 3: Show that, if you assume it is true for any natural number m, greater or equal to n, then it must be true for the next value, m+1. Then, by induction, you have proven that the statement (step 1) is true for all natural numbers greater than or equal to n. Note that n need not be 1.
If you are hungry then you are not happy is assumed to be true is its converse If you are not happy then you must be hungry also always true?
No, the converse of a statement does not necessarily have to be true. In this case, the original statement "If you are hungry then you are not happy" does not imply that its converse "If you are not happy then you must be hungry" is always true. It is possible to be unhappy for reasons other than hunger.
Which statement must be true about the lines shown?
A+
If the conditional statement is true what must also be true?
not b not a its contrapositive
What is an example of paradoxes?
The below statement is false. The above statement is true. I am lying. I am lying when I say I am lying.
If the statement If it is cold then you wear a jacket is assumed to be true is its converse If you wear a jacket then it must be cold also always true?
No, the converse of a statement is not always true. In this case, if you wear a jacket, it does not necessarily mean that it must be cold; you may choose to wear a jacket for reasons other than cold temperature, such as fashion or personal preference.
Alice says that Henry has more than 5 brothers Ann says that he doesn't Amos says that he has fewer than 5 but at least 1 brother If one statement is true how many brothers does Henry have?
If we assume that only one statement is true, and given the conflicting statements, we can deduce that Amos' statement must be true. Therefore, Henry must have at least 1 brother.
Which best describes the meaning of the statement if then b?
if a is true, then b must be true
What is the fallacy of the inverse and how does it relate to logical reasoning?
The fallacy of the inverse occurs when someone assumes that if a statement is true, then its opposite must also be true. This is a logical error because just because a statement is true, it does not mean that its opposite is true as well. This fallacy is important in logical reasoning because it highlights the need to carefully evaluate each statement on its own merits, rather than assuming that its opposite must also be true.
An example of paradox?
One classic example of a paradox is the "liar paradox," which revolves around a statement that cannot consistently be true or false. An example would be the statement "This statement is false." If the statement is true, then it must be false, but if it is false, then it must be true, creating a paradoxical situation.
Which type of statement must be proven true in geometry?
Every statement apart from the axioms or postulates.
What is the answer to x equals -7?
The 'answer' is the number that 'x' must be in order to make the statement true. If 'x' is anything different from -7, then the statement "x = -7" is not true. So the 'answer' must be -7 .
Is a rhino bigger than a cat?
true, a rhino is bigger then a cat.
