Example 1 - Chapter 9 Class 9 - Propositions and their Converses (Ganita Manjari)

Transcript

Example 1 Proposition P: If it rains, then the road is wet. Converse Q: If the road is wet, then it has rained. Check if statements P & Q are true Let’s check if both statements are true or not Checking if Proposition P is true P: If it rains, then the road is wet. This is true Checking if Converse Q is true Q: If the road is wet, then it has rained. This is false Counterexample: A municipal street-washing truck washed the road, or a water tanker leaked, or someone washed their car on the driveway. Counterexample: A municipal street-washing truck washed the road, or a water tanker leaked, or someone washed their car on the driveway.