High School

Which statement about 172, 144, and 181, 144 is correct?

a. 172 is less than 144, and 181 is greater than 144.
b. 172 is greater than 144, and 181 is less than 144.
c. 172 and 181 are both greater than 144.
d. 172 and 181 are both less than 144.

Answer :

Final answer:

The correct statement is option (c) "172 and 181 are both greater than 144." This comparison is made by checking each number individually against 144 and determining that both are larger than it.

Explanation:

The question is asking us to compare the numbers 172 and 181 with the number 144. To do this, we need to see if each number is either greater than or less than 144.

When we look at the number 172 and compare it to 144, we find that 172 is larger than 144 because if we add 1 to 100 we get 101, and adding 72 to that number would definitely result in a number that is larger than 144. Similarly, when we compare 181 to 144, we find that 181 is larger than 144 since if we add 1 plus 80 we get 81, and adding 100 to that number yields a number greater than 144. Therefore, both 172 and 181 are greater than 144.

The correct statement is option (c) "172 and 181 are both greater than 144." This is because in mathematics, when you compare numbers, a number is either greater than, less than, or equal to another number, and the relation of these numbers is transitive. In our case, both 172 and 181 are larger than 144.