MHB Converse,the contrapositive and the inverse of these condition

[annie1]

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

 

[Plato2]

Re: converse,the contrapositive and the inverse of these condition

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

If P then Q. What are the converse ,the contrapositive and inverse of that statement?

 

[annie1]

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?

converse q then p
contrapositive not q then not p
inverse not p then not p
i don't understand how to do b part

 

[Plato2]

Re: converse,the contrapositive and the inverse of these condition

converse q then p
contrapositive not q then not p
inverse not p then not q
i don't understand how to do b part

b) $$\text{If }|x|=x\text{ then }x\ge 0~.$$

Inverse: $$\text{If }|x|\ne x\text{ then }x< 0~.$$

Now you post the others.

 

[annie1]

Re: converse,the contrapositive and the inverse of these condition

b) $$\text{If }|x|=x\text{ then }x\ge 0~.$$

Inverse: $$\text{If }|x|\ne x\text{ then }x< 0~.$$

Now you post the others.

converse if x>=0 then |x|=x
contrapositive if x ne 0 then |x| ne x

 

[Plato2]

Re: converse,the contrapositive and the inverse of these condition

converse if x>=0 then |x|=x
contrapositive if x ne 0 then |x| ne x

NO!

$$\text{If }x<0\text{ then }|x|\ne x~.$$