SOLUTION: What would be the converse, inverse and contrapostiive in the statement "If its summer, then its warm."

Algebra ->  Conjunction -> SOLUTION: What would be the converse, inverse and contrapostiive in the statement "If its summer, then its warm."      Log On


   

Question 672773: What would be the converse, inverse and contrapostiive in the statement "If its summer, then its warm."
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
First, let's figure out what the hypothesis and the conclusion are. The hypothesis is: "If it's summer," and the conclusion is, "it's warm." The conditional statement goes Hypothesis-Conclusion. Therefore, the converse would go Conclusion-Hypothesis. (If it's warm, then it's summer.) The inverse, however, is taking the negative of what is given. (If it's not summer, then it's not warm.) Finally, the contrapositive is taking converse of the inverse. We have the inverse (If it's not summer, then it's not warm.) Therefore, the contrapositive would be (If it's not warm, then it's not summer.) Hope this helps. :)