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- Thread starter annie
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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

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

contrapositive not q then not p

inverse not p then not p

i dont understand how to do b part

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.

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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

NO!converse if x>=0 then |x|=x

contrapositive if x ne 0 then |x| ne x

\(\displaystyle \text{If }x<0\text{ then }|x|\ne x~.\)