Question

if possible, use the law of syllogism to make a conclusion. if it is not possible to make a conclusion, tell why.

1. if you like to snow ski, then you will like colorado.

if you like to wakeboard, then you will like florida.

1. if it is tuesday, then the cafeteria is serving meat loaf.

when the cafeteria serves meat loaf, harlan brings a sack lunch.

1. if a polygon is a square, then it has exactly four congruent angles.

if a polygon has exactly four congruent angles, then it is a rectangle.
use the law of detachment and the law of syllogism to make conclusions from the following statements. if it is not possible to make a conclusion, tell why.

1. if you live in fairbanks, then you live in alaska. if you live in alaska, then you live in the largest state in the united states. alan lives in fairbanks.
2. a rectangle is a quadrilateral with four congruent angles. a rectangle is a parallelogram with four congruent angles. a square is a rectangle.
3. if it is summer, the days will be warm. if people are swimming, the days are warm. if the air - conditioning is turned on inside, then it is warm outside.
4. if it is raining, the temperature is greater than 32°f. if the temperature is greater than 32°f, then it is not freezing outside. it is raining.

Explanation:

10.

Step1: Analyze the statements

The first statement is "If you like to snow - ski, then you will like Colorado" and the second is "If you like to wakeboard, then you will like Florida". There is no common hypothesis - conclusion link.

Step1: Identify the statements

Let \(p\): It is Tuesday, \(q\): The cafeteria is serving meat - loaf, \(r\): Harlan brings a sack lunch. We have \(p
ightarrow q\) and \(q
ightarrow r\).

Step2: Apply the Law of Syllogism

By the Law of Syllogism, if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\).

Step1: Identify the statements

Let \(p\): A polygon is a square, \(q\): It has exactly four congruent angles, \(r\): It is a rectangle. We have \(p
ightarrow q\) and \(q
ightarrow r\).

Step2: Apply the Law of Syllogism

By the Law of Syllogism, if \(p
ightarrow q\) and \(q
ightarrow r\), then \(p
ightarrow r\).

Answer:

It is not possible to make a conclusion using the Law of Syllogism because there is no common part between the two conditional statements.

11.