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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.


True or false If you took an if-then statement and reversed the clauses the new statement would also be true. A. True B. False?

B. False. Reversing the clauses of an if-then statement changes its meaning, and the new statement is not necessarily true. For example, in the statement "If it rains, then the ground is wet," reversing it to "If the ground is wet, then it rains" is not always true, as the ground could be wet for other reasons.


If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A. No B. Yes?

No


True or false If you took a true if-then statement and inserted a not in each clause the new statement would also be true.?

False. If you take a true if-then statement and insert "not" in each clause, the new statement may not necessarily be true. The structure of the logic changes, and a true statement can become false depending on the relationships between the clauses. For example, the original statement "If A, then B" becomes "If not A, then not B," which is not logically equivalent.


What is a contrapositive in math?

Contrapositives are an idea in logic which is very useful in math.We say that A implies B if whenever Statement A is true then we know that statement B is also true.So, Say that A implies B, written:A -> BThe contrapositive of this statement is:Not-B -> Not-ARemember "A implies B" means that B must be true if A is true, so if we know that B is falce, we can deduce that A couldn't be true, so it must be falce.With truth tables it can easily be shown that"A -> B" IF AND ONLY IF "Not-B -> Not-A"So when using the contrapositive, no information is lost.In math, this is often used in proofs when, while trying to demonstrate that A implies B, it is easier to show that Not-B implies Not-A and hence that A implies B.

Related Questions

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.


What is the if statement in java?

The if statement evaluates boolean (true or false) expressions. For example: if ( a = b ) or if (4 = 4 ) The first would be true if a was equal to b and false if not. The second would always be true seeing that 4 always equals 4.


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.


True or false If you took an if-then statement and reversed the clauses the new statement would also be true. A. True B. False?

B. False. Reversing the clauses of an if-then statement changes its meaning, and the new statement is not necessarily true. For example, in the statement "If it rains, then the ground is wet," reversing it to "If the ground is wet, then it rains" is not always true, as the ground could be wet for other reasons.


What is circular logic?

Circular logic would be a statement or series of statements that are true because of another statement, which is true because of the first. For example, statement A is true because statement B is true. Statement B is true because statement A is true


If the statement If I am hungry then I am not happy is assumed to be true is its inverse If I am not hungry then I must be happy also always true A. No B. Yes?

No


If the statement If it is midnight then the sun is not shining is assumed to be true is its reverse If the sun is not shining then it is midnight also always true and nbspA.No and nbspB.Yes?

No, it is not necessarily true


Which best describe the meaning of the statement if A then B?

The statement "if A then B" is a conditional statement indicating that if condition A is true, then condition B will also be true. It establishes a cause-and-effect relationship, where A is the antecedent and B is the consequent. This means that the occurrence of A guarantees the occurrence of B, but B may occur independently of A. In logical terms, it implies that the truth of B is contingent upon the truth of A.


Which best describes the meaning of the statement if then b?

if a is true, then b must be true


What is converse statement?

Statement: All birds lay eggs. Converse: All animals that lay eggs are birds. Statement is true but the converse statement is not true. Statement: If line A is perpendicular to line B and also to line C, then line B is parallel to line C. Converse: If line A is perpendicular to line B and line B is parallel to line C, then line A is also perpendicular to line C. Statement is true and also converse of statement is true. Statement: If a solid bar A attracts a non-magnet B, then A must be a magnet. Converse: If a magnet A attracts a solid bar B, then B must be non-magnet. Statement is true but converse is not true (oppposite poles of magnets attract).


If the conditional statement is true what must also be true?

not b not a its contrapositive


True or false If you took a true if-then statement and inserted a not in each clause the new statement would also be true.?

False. If you take a true if-then statement and insert "not" in each clause, the new statement may not necessarily be true. The structure of the logic changes, and a true statement can become false depending on the relationships between the clauses. For example, the original statement "If A, then B" becomes "If not A, then not B," which is not logically equivalent.