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Is this statement true or falseThe cicumcenter of a triangle is always in the interior of a triangle?
false
In math what one thing do you need to prove a statement is false?
To prove a statement false, you need ONE example of when it is not true.To prove it true, you need to show it is ALWAYS true.
Is The converse of a biconditional statement is always true?
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.
When comparing two integers the integer with the bigger absolute value is always the greater integer?
The statement is false.
Can a statement be true or false?
Yes, a statement can be true or false but without knowing what the statement is no-one can possibly say whether it is true or it is false.
Is the statement All needs of everyone in the family are always me true or false?
false
An example that makes a statement false?
i always lie
What is the circumference of a circle is always 3?
It is a false statement.
Do you know if the reverse of a conditional statement is always true?
false
In the economic process people are always concerned with making a profit True or false?
The statement is false.
Is this statement true or falseThe cicumcenter of a triangle is always in the interior of a triangle?
false
Is the Converse of a false statement always false?
Let's take an example.If it is raining (then) the match will be cancelled.A conditional statement is false if and only if the antecedent (it is raining) is true and the consequent (the match will be cancelled) is false. Thus the sample statement will be false if and only if it is raining but the match still goes ahead.By convention, if the antecedent is false (if it isn't raining) then the statement as a whole is considered true regardless of whether the match takes place or not.To recap: if told that the sample statement is false, we can deduce two things: It is raining is a true statement, and the match will be cancelled is a false statement. Also, we know a conditional statement with a false antecedent is always true.The converse of the statement is:If the match is cancelled (then) it is raining.Since we know (from the fact that the original statement is false) that the match is cancelled is false, the converse statement has a false antecedent and, by convention, such statements are always true.Thus the converse of a false conditional statement is always true. (A single example serves to show it's true in all cases since the logic is identical no matter what specific statements you apply it to.)If you are familiar with truth tables, the explanation is much easier. Here is the truth table for A = X->Y (i.e. A is the statement if X then Y) and B = Y->X (i.e. B is the converse statement if Y then X).X Y A BF F T TF F T TT F F TF T T FLooking at the last two rows of the A and B columns, when either of the statements is false, its converse is true.
In math what one thing do you need to prove a statement is false?
To prove a statement false, you need ONE example of when it is not true.To prove it true, you need to show it is ALWAYS true.
is this statement true or false BC?
If the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then "This statement is false" is true, making the statement false. But if the statement is false, then "This statement is false", is a lie, making it "This statement is true." The statement is now true. But if the statement is true, then... It's one of the biggest paradoxes ever, just like saying, "I'm lying right now."
Is this statement true or false Skeletal muscles always work in antagonistic pairs?
True, muscles always work where one contract another relaxes.
Is this statement true or falseIf a quadrilateral is a parallelogram, then its opposite angles are always supplementary?
false
Is this statement true or falseA quadrilateral with four right angles is always a parallelogram?
False
