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What statement has the for if A then B this means that A is true then B is always true?
The statement "If A then B" (often written as A → B) means that whenever A is true, B must also be true. However, it does not imply that B is true if A is false; the truth of B is contingent on A being true. In logical terms, the statement is only false if A is true and B is false. Therefore, while A guarantees B, B can still be true independently of A.
What statement has the form if a then B then this means if a is true b is always true?
The statement you're describing is a form of logical implication often expressed as "If A, then B." In this structure, if A is true, then B must also be true. However, it does not mean that B is always true independently; it is only true when A is true. Therefore, the correct interpretation is that B's truth is contingent upon A being true.
If A is true then B must be true.?
Not necessarily. It will all depend on the statements A and B.
Which best describes the meaning of the statement if then b?
if a is true, then b must be true
What is an examlpe that proves that a conjecture or statement is false?
A therefore B A is true Therefore B is true Logically..... A is true A is false Therefore B is false
What generally describes the meaning of the statement If A then B?
This describes one kind of statement that can appear in a logical syllogism or argument. If a given argument A is true, then it follows that argument B must be true. It does not automatically follow that if B is true, then A must be true.'All living humans are breathing animals' is true. [If you are a living human (A) you breathe (B).'All breathing animals are therefore human' is not true. [If you breathe (B) you are a living human (A).
What are examples of law of detachment?
The law of detachment says that in cases where A implies B, if A is true, B must also be true. For example, if A says that this is a shark, and B says that it lives in the ocean, we can conclude that if A is true, B is also true, and it lives in the ocean.
If A and B are sets whose union is B then it must be true that what?
a is a subset of b
What is a disjunction in algebra?
"In logic and mathematics, a two-place logical connective or, is a logical disjunction, also known as inclusive disjunction or alternation, that results in true whenever one or more of its operands are true. E.g. in this context, "A or B" is true if A is true, or if B is true, or if both A and B are true" (Wikipedia)
What describes the meaning of the statement If A then B?
This describes one kind of statement that can appear in a logical syllogism or argument. If a given argument A is true, then it follows that argument B must be true. It does not automatically follow that if B is true, then A must be true.'All living humans are breathing animals' is true. [If you are a living human (A) you breathe (B).'All breathing animals are therefore human' is not true. [If you breathe (B) you are a living human (A).
Is it true?
Big B
What is the relationship between thing a and thing b if thing a is always true whenever thing b is?
If thing a is always true whenever thing b is, then thing a is dependent on thing b.
