Alright, let's evaluate each statement one by one to determine which are true.
A. [tex]\( 6.8 > 5.9 \)[/tex]
- Compare the two values: [tex]\( 6.8 \)[/tex] and [tex]\( 5.9 \)[/tex].
- [tex]\( 6.8 \)[/tex] is indeed greater than [tex]\( 5.9 \)[/tex].
- Therefore, this statement is true.
B. [tex]\( -2.5 > -1.9 \)[/tex]
- Compare the two values: [tex]\( -2.5 \)[/tex] and [tex]\( -1.9 \)[/tex].
- On the number line, [tex]\( -2.5 \)[/tex] is to the left of [tex]\( -1.9 \)[/tex], implying it is smaller.
- Therefore, this statement is false.
C. [tex]\( -4.7 < 2.3 \)[/tex]
- Compare the two values: [tex]\( -4.7 \)[/tex] and [tex]\( 2.3 \)[/tex].
- Clearly, [tex]\( -4.7 \)[/tex] is less than [tex]\( 2.3 \)[/tex].
- Therefore, this statement is true.
D. [tex]\( 3.5 < -7.1 \)[/tex]
- Compare the two values: [tex]\( 3.5 \)[/tex] and [tex]\( -7.1 \)[/tex].
- [tex]\( 3.5 \)[/tex] is a positive number and [tex]\( -7.1 \)[/tex] is a negative number, thus [tex]\( 3.5 \)[/tex] is greater than [tex]\( -7.1 \)[/tex].
- Therefore, this statement is false.
Given the evaluations:
- Statement A is true.
- Statement B is false.
- Statement C is true.
- Statement D is false.
The correct combination of true statements is A and C. Thus, the correct answer is:
A and C
