Warm Up Related Conditionals
People will often “twist words around” in an attempt to win an argument. In order to avoid becoming a victim of such tactics, you need to be aware of three new conditionals and their related truth values. Each of these new conditionals is formed by rearranging an original conditional statement.
Remember that a “conditional statement” is a statement that can be expressed in “if…then” form).
The three new conditionals are:
CONVERSE, INVERSE, CONTRAPOSITIVE
Before we begin, let’s review some vocabulary:
Hypothesis: This is the part of the sentence that follows the word “If…. ,”
Conclusion: This is the part of the sentence that follows the word “then … .”
It may be necessary when working with conditional statements to rewrite the sentence so that it is in “If…then” form.
- “All surfers like big waves.”
- “If you are a surfer, then you like big waves.”
Putting a sentence in “If…then” form before beginning your investigation of the converse, inverse, and contrapositive will make your work easier.