Pick all of the true statements.

A. [tex]$6.72 \ \textless \ 6.59$[/tex]

B. [tex]$2.78 \ \textless \ 3.26$[/tex]

C. [tex]$4.61 \ \textgreater \ 4.32$[/tex]

D. [tex]$8.38 \ \textgreater \ 8.5$[/tex]



Answer :

To determine which of the given statements are true, let's evaluate each inequality one by one:

1. [tex]\(6.72 < 6.59\)[/tex]
2. [tex]\(2.78 < 3.26\)[/tex]
3. [tex]\(4.61 > 4.32\)[/tex]
4. [tex]\(8.38 > 8.5\)[/tex]

Let's check each statement:

1. [tex]\(6.72 < 6.59\)[/tex]:
- Compare the numbers 6.72 and 6.59. Since 6.72 is greater than 6.59, this statement is false.

2. [tex]\(2.78 < 3.26\)[/tex]:
- Compare the numbers 2.78 and 3.26. Since 2.78 is less than 3.26, this statement is true.

3. [tex]\(4.61 > 4.32\)[/tex]:
- Compare the numbers 4.61 and 4.32. Since 4.61 is greater than 4.32, this statement is true.

4. [tex]\(8.38 > 8.5\)[/tex]:
- Compare the numbers 8.38 and 8.5. Since 8.38 is less than 8.5, this statement is false.

After evaluating each inequality, the true statements are:

- [tex]\(2.78 < 3.26\)[/tex]
- [tex]\(4.61 > 4.32\)[/tex]

Therefore, the true statements are the second and third ones, corresponding to the positions 2 and 3.