Question

​Determine which of the following sentences are propositions and indicate their truth values. 1.Legazpi is the capital of Albay 2.3+4=7 3.x+y=y+x for every pair of real numbers x and y 4.x+1=5 if x=1

Answer 1

Three sentences are propositions and their truth values are determined.

Step-by-step explanation:

The sentences that are propositions are:

1. Legaspi is the capital of Albay
2. 3+4=7
3. x+y=y+x for every pair of real numbers x and y

The truth values of these propositions are:

1. True
2. True
3. True

These propositions are all factually accurate statements in mathematics that can be proven to be true using the rules and properties of numbers and operations. The first proposition is true because Legaspi is indeed the capital of Albay. The second proposition is true because the sum of 3 and 4 is indeed equal to 7. The third proposition is true because the commutative property of addition states that the order of the numbers being added does not affect the sum.