Use the Law of Syllogism to write a statement that follows the pair of true statements. If the picnic is cancelled, then the food will go to waste. If it rains, then the picnic will be cancelled.
If it rains, then the food will go to waste.
To use the Law of Syllogism, we can combine the two given statements to form a new statement. According to the Law of Syllogism, if there are two propositions, "If A, then B" and "If B, then C", then we can conclude "If A, then C".
Based on the given statements:
Statement 1: If the picnic is cancelled, then the food will go to waste.
Statement 2: If it rains, then the picnic will be cancelled.
By applying the Law of Syllogism, we can conclude:
If it rains, then the food will go to waste.
So, the statement that follows the pair of true statements is: If it rains, then the food will go to waste.
The Law of Syllogism allows us to make a logical deduction based on two true statements. In this case, we have the following pair of true statements:
Statement 1: If the picnic is cancelled, then the food will go to waste.
Statement 2: If it rains, then the picnic will be cancelled.
To use the Law of Syllogism, we need to connect these two statements to deduce a new statement. Since both statements share a common statement (the picnic being cancelled), we can eliminate it from the second statement and link the remaining parts together. Here's how we can apply the Law of Syllogism in this case:
If the picnic is cancelled (from the first statement) and if it rains (from the second statement), then the food will go to waste.
So, the statement that follows using the Law of Syllogism would be: If it rains, then the food will go to waste.