This week, 161 fans watched a soccer game. Last week, 116 fans watched a soccer game. Which correctly compares the number of soccer fans in these two weeks?

A. [tex]116 = 116[/tex]
B. [tex]161 \ \textless \ 116[/tex]
C. [tex]116 \ \textgreater \ 161[/tex]
D. [tex]116 \ \textless \ 161[/tex]

Answer :

To solve the problem of comparing the number of soccer fans who watched the games this week and last week, let's look at the numbers given:

- This week, 161 fans watched the soccer game.
- Last week, 116 fans watched the soccer game.

We need to compare 116 and 161 to determine which is greater and which is smaller. Let's evaluate the options one by one:

(A) [tex]\(116 = 116\)[/tex]: This states that 116 is equal to 116. While the numbers are indeed equal to each other when compared to themselves, this option is not relevant here because we are comparing 116 to 161.

(B) [tex]\(161 < 116\)[/tex]: This option claims that 161 is less than 116. This is incorrect because 161 is clearly greater than 116.

(C) [tex]\(116 > 161\)[/tex]: This suggests that 116 is greater than 161. This is also incorrect because 116 is smaller than 161.

(D) [tex]\(116 < 161\)[/tex]: This states that 116 is less than 161. This is correct since 116 is indeed smaller than 161.

Thus, the correct comparison between the two numbers is [tex]\(116 < 161\)[/tex]. This means that more fans attended the game this week compared to last week. Therefore, the correct answer is option (D).