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If A and B are sets whose union is B then it must be true that what?
a is a subset of b
If a is bigger than b and b bigger than c which statement must be true?
if a is bigger than b and b is bigger than c a must be bigger than c... Transitivity
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.
If 2 rational number a and b are ordered such that a is less than b then what must be true about the order for their opposites -a and -b?
a < b → a - a < b - a → 0 < b - a → 0 - b < b - a - b → -b < -a → if a < b then -b < -a which can also be expressed as -a > -b
Which statement is true about the Loyalists A B or C?
novanet; they felt that paliament and the crown must be obeyed as the legitament govenment of the empire
Which best describes the meaning of the statement if then b?
if a is true, then b must be true
If A and B are sets whose union is B then it must be true that what?
a is a subset of b
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).
If the conditional statement is true what must also be true?
not b not a its contrapositive
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).
If a is bigger than b and b bigger than c which statement must be true?
if a is bigger than b and b is bigger than c a must be bigger than c... Transitivity
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.
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.
The name of a Java program file must match the name of the class with the extension java A True B False?
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 2 rational number a and b are ordered such that a is less than b then what must be true about the order for their opposites -a and -b?
a < b → a - a < b - a → 0 < b - a → 0 - b < b - a - b → -b < -a → if a < b then -b < -a which can also be expressed as -a > -b
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.
