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If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
Is this statement true or falseThe conditional is the negation of the converse.?
true
What is converse in math and what does it look like?
One example: If a = b, the converse b = a is also true.
Is the converse of the law of syllogism true?
Not always
What is the converse of If a number is a whole number then it is an integer?
"If a number is an integer, then it is a whole number." In math terms, the converse of p-->q is q-->p. Note that although the statement in the problem is true, the converse that I just stated is not necessarily true.
Is every cauchy sequence is convergent?
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
Every convergent sequence is bounded is the converse is true?
For the statement "convergence implies boundedness," the converse statement would be "boundedness implies convergence."So, we are asking if "boundedness implies convergence" is a true statement.Pf//By way of contradiction, "boundedness implies convergence" is false.Let the sequence (Xn) be defined asXn = 1 if n is even andXn = 0 if n is odd.So, (Xn) = {X1,X2,X3,X4,X5,X6...} = {0,1,0,1,0,1,...}Note that this is a divergent sequence.Also note that for all n, -1 < Xn < 2Therefore, the sequence (Xn) is bounded above by 2 and below by -1.As we can see, we have a bounded function that is divergent. Therefore, by way of contradiction, we have proven the converse false.Q.E.D.
Is it true when a sequence is divergent then its subsequences are divergent explain?
Not always true. Eg the divergent series 1,0,2,0,3,0,4,... has both convergent and divergent sub-sequences.
If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
What is the suffix for converse?
Conversation Converse (can also be a noun as in "the converse is true").
Is the converse of a true if-then statement always true?
No.
What is proof by Converse?
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
Is the converse of a true if-then statement never true?
Converses of a true if-then statement can be true sometimes. For example, you might have "If today is Friday, then tomorrow is Saturday," and "If tomorrow is Saturday, then today is Friday." Both the above conditional statement and its converse are true. However, sometimes a converse can be false, such as: "If an animal is a fish, then it can swim." and "If an animal can swim, it is a fish." The converse is not true, as some animals that can swim (such as otters) are not fish.
If a triangle is isosceles then it is equalateral. what is the converse?
The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
Is the converse of a true conditional statment is always true?
yes it is
Is this statement true or falseThe conditional is the negation of the converse.?
true
What is a true statement that combines a true conditional statement and its true converse?
always true
