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What is logically equivalent to the inverse of a conditional statement?
Wiki User
∙ 9y ago
The conditional statement "If A then B" is equivalent to "Not B or A"
So, the inverse of "If A then B" is the inverse of "Not B or A"
which is "Not not B and not A", that is "B and not A",
Wiki User
∙ 9y ago
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Is if you like math then you like science an inverse?
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)
Is the inverse of a conditional statement is always true?
No.
is this statement true or falseThe inverse is the negation of the conditional.?
true
What also is true if a conditional statement is true A its contrapositive B its converse C its inverse D none of these?
A conditional statement is true if, and only if, its contrapositive is true.
What is the inverse of the following conditional If the weather is fair then I will take a walk?
The inverse is: if the weather is not fair then I will take a walk.
The converse and inverse of a conditional statement are logically equivalent?
This is not always true.
What is the converse of the inverse of the conditional of the contrapositive?
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
What is the inverse of the contrapositive of the converse?
This would be logically equivalent to the conditional you started with.
The statement formed by negating both the hypothesis and conclusion of a conditional statement?
Inverse
Is if you like math then you like science an inverse?
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)
Is the inverse of a conditional statement is always true?
No.
What is an inverse statement?
Given a conditional statement of the form:If "hypothesis" then "conclusion",the inverse is:If "not hypothesis" then "not conclusion".
What is an inverse statement of if a triangle is an equilateral triangle?
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse statement.
What is the inverse of a conditional statement?
The statement formed when you negate the hypothesis and conclusion of a conditional statement. For Example: If you had enough sleep, then you did well on the test. The inverse will be: If you didn't have enough sleep, then you didn't do well on the test.
is this statement true or falseThe inverse is the negation of the conditional.?
true
What is a statement that negates both the hypothesis and the conclusion of a given conditional statement?
inverse
What is a contra positive statement?
Conditional statements are also called "if-then" statements.One example: "If it snows, then they cancel school."The converse of that statement is "If they cancel school, then it snows."The inverse of that statement is "If it does not snow, then they do not cancel school.The contrapositive combines the two: "If they do not cancel school, then it does not snow."In mathematics:Statement: If p, then q.Converse: If q, then p.Inverse: If not p, then not q.Contrapositive: If not q, then not p.If the statement is true, then the contrapositive is also logically true. If the converse is true, then the inverse is also logically true.
