Write a conditional statement. write the converse, inverse, and contrapositive for your statement and determine the truth value of each. if the statements truth value is false, give a counter example.

Conditional statement is a statement with a hypotesis and a conclusion:

or mathematically .

Converse statement of is statement .

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:

.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:

.

Example:

1. Conditional statement: If I am sleeping, then I have closed eyes. (true)

2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)

3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)

4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)

x = 25/2304

step-by-step explanation: