Is a b/b a always true?

Is a b/b a always true?

So, the statement “if A = B, then B = A” is always (assumed to be) true in math, but it’s not always true when applied to the meaning of words, which is what your friend is attempting to do.

What property explains the conditional if a B then B A?

The transitive property (of equality).

What called if a B then B A?

Symmetric Property
Symmetric Property: if a = b, then b = a. Transitive Property: if a = b and b = c, then a = c.

Is AB BA possible give reason?

Need to show: AB = BA. Since A is not square, m = n. Therefore, the number of rows of AB is not equal to the number of rows of BA, and hence AB = BA, as required.

Is a conditional statement always true?

Though it is clear that a conditional statement is false only when the hypothesis is true and the conclusion is false, it is not clear why when the hypothesis is false, the conditional statement is always true.

Which property of equality states that if a B and B c then a c?

Terms in this set (19) property of equality for addition says that if a=b then a+c=b+c. If you add the same number to both sides of an equation, the equation is still true.

Is transitive property always true?

transitive law, in mathematics and logic, any statement of the form “If aRb and bRc, then aRc,” where “R” is a particular relation (e.g., “…is equal to…”), a, b, c are variables (terms that may be replaced with objects), and the result of replacing a, b, and c with objects is always a true sentence.

Is a = B then B = A always true?

So, the statement “if A = B, then B = A” is always (assumed to be) true in math, but it’s not always true when applied to the meaning of words, which is what your friend is attempting to do. I think the confusion here is a language problem – Math language versus the English language – thereby causing the ever-vexing “Lost in Translation” dilemma.

Is it logically possible that a=B?

From a-a=b-b, we cannot imply logically that a=b. In English, the appropriate way to say it would be: Since a-a=b-b for all values of a, and all values of b, it is possible that a=b, but not necessary that a=b.

What does a B mean in ABA?

A statement “A B” is true when the relation “A implies B” is true, not when A, or B, or A and B are true. It states that “if A is true, then B must also be true”. This means that when A is false, the statement doesn’t conclude anything.

Which statement is true if a IMPLIES b?

The statement “A implies B” is the statement “If is an integer, then is a rational number.” This statement is true. However, the statement “A if and only if B” is the statement ” is an integer if and only if is a rational number,” which is false. Mini-Lecture.