The discussion revolves around identifying the converse, contrapositive, and inverse of various conditional statements. Participants explore this topic through specific examples, focusing on the logical relationships inherent in these statements.
Participants show some agreement on the definitions of converse, contrapositive, and inverse, but there is disagreement regarding the correct formulation of the inverse for the second statement, indicating uncertainty in the application of these concepts.
Some participants express difficulty in understanding how to apply the definitions to specific examples, particularly the second statement, which may indicate a need for clearer explanations or additional context.
annie said: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
Plato said:If P then Q. What are the converse ,the contrapositive and inverse of that statement?
annie said: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
Plato said: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.
NO!annie said:converse if x>=0 then |x|=x
contrapositive if x ne 0 then |x| ne x