- Thread starter
- #1
Converse,the contrapositive and the inverse of these condition
- Thread starter annie
- Start date
Re: converse,the contrapositive and the inverse of these condition
If P then Q. What are the converse ,the contrapositive and inverse of that statement?q)give the converse ,the contrapositive and inverse of these conditional statements
a)if it rains today,then i will drive to work
b)if |x|=x then x>=0
c)if n is greater than 3,then n^2 is greater then 9
- Thread starter
- #3
Re: converse,the contrapositive and the inverse of these condition
contrapositive not q then not p
inverse not p then not p
i dont understand how to do b part
converse q then pIf P then Q. What are the converse ,the contrapositive and inverse of that statement?
contrapositive not q then not p
inverse not p then not p
i dont understand how to do b part
Re: converse,the contrapositive and the inverse of these condition
Inverse: \(\displaystyle \text{If }|x|\ne x\text{ then }x< 0~.\)
Now you post the others.
b) \(\displaystyle \text{If }|x|=x\text{ then }x\ge 0~.\)converse q then p
contrapositive not q then not p
inverse not p then not q
i dont understand how to do b part
Inverse: \(\displaystyle \text{If }|x|\ne x\text{ then }x< 0~.\)
Now you post the others.
- Thread starter
- #5
Re: converse,the contrapositive and the inverse of these condition
contrapositive if x ne 0 then |x| ne x
converse if x>=0 then |x|=xb) \(\displaystyle \text{If }|x|=x\text{ then }x\ge 0~.\)
Inverse: \(\displaystyle \text{If }|x|\ne x\text{ then }x< 0~.\)
Now you post the others.
contrapositive if x ne 0 then |x| ne x
Re: converse,the contrapositive and the inverse of these condition
\(\displaystyle \text{If }x<0\text{ then }|x|\ne x~.\)
NO!converse if x>=0 then |x|=x
contrapositive if x ne 0 then |x| ne x
\(\displaystyle \text{If }x<0\text{ then }|x|\ne x~.\)