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)
No.
true
A conditional statement is true if, and only if, its contrapositive is true.
The inverse is: if the weather is not fair then I will take a walk.
This is not always true.
The converse of an inverse is the contrapositive, which is logically equivalent to the original conditional.
This would be logically equivalent to the conditional you started with.
The inverse of a conditional statement switches the hypothesis and conclusion. The converse of a conditional statement switches the hypothesis and conclusion. The contrapositive of a conditional statement switches and negates the hypothesis and conclusion.
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)
No.
Given a conditional statement of the form:If "hypothesis" then "conclusion",the inverse is:If "not hypothesis" then "not conclusion".
"if a triangle is an equilateral triangle" is a conditional clause, it is not a statement. There cannot be an inverse 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.
true
inverse