Read the following three statements. Use the Law of Detachment and the Law of Syllogism to draw a conclusion.
If an elephant weighs more than 2,000 pounds, then it weighs more than Jill’s car.
If something weighs more than Jill’s car, then it is too heavy for the bridge.
Smiley the Elephant weighs 2,150 pounds.
If Smiley weighs more than Jill’s car, then Smiley is too heavy for the bridge.
Smiley is too heavy for the bridge.
Smiley weighs more than 2000 pounds, then Smiley is too heavy for the bridge.
Smiley weighs more than Jill’s car.
Since we know that Smiley the Elephant weighs 2,150 pounds, and from the first statement, we can conclude that if Smiley weighs more than 2,000 pounds, then he weighs more than Jill's car.
Using the Law of Detachment, we can then apply the second statement which tells us that if something weighs more than Jill's car, then it is too heavy for the bridge. Therefore, we can conclude that Smiley is too heavy for the bridge.
To draw a conclusion using the Law of Detachment and the Law of Syllogism based on the given statements, let's analyze them step-by-step:
1. If an elephant weighs more than 2,000 pounds, then it weighs more than Jill’s car.
2. If something weighs more than Jill’s car, then it is too heavy for the bridge.
3. Smiley the Elephant weighs 2,150 pounds.
Using the Law of Detachment:
- We can use the first statement and the third statement to conclude:
- Smiley the Elephant weighs more than 2,000 pounds.
Using the Law of Syllogism:
- We can use the first statement, the second statement, and the conclusion from the Law of Detachment:
- If something weighs more than Jill's car, then it is too heavy for the bridge.
Therefore, we can draw the following conclusion:
- Smiley weighs more than 2000 pounds, then Smiley is too heavy for the bridge.
Combining this conclusion with the initial information, we can say:
- Smiley is too heavy for the bridge.
- Smiley weighs more than Jill’s car.
These are the conclusions we can draw using the Law of Detachment and the Law of Syllogism from the given statements.