Let's analyze each statement one by one:
1. Statement: [tex]\( -5 < -9 \)[/tex]
- When comparing two negative numbers, the smaller (more negative) number is less than the larger one.
- Here, [tex]\( -5 \)[/tex] is closer to zero than [tex]\( -9 \)[/tex], which means [tex]\( -5 \)[/tex] is actually greater than [tex]\( -9 \)[/tex].
- Therefore, the statement [tex]\( -5 < -9 \)[/tex] is False.
2. Statement: [tex]\( -2 < -2 \)[/tex]
- Comparing the same number to itself, any number is neither less than nor greater than itself.
- Hence, [tex]\( -2 \)[/tex] is equal to [tex]\( -2 \)[/tex] but not less than [tex]\( -2 \)[/tex].
- Therefore, the statement [tex]\( -2 < -2 \)[/tex] is False.
3. Statement: [tex]\( \pi \geq 3.1416 \)[/tex]
- The value of [tex]\(\pi\)[/tex] (pi) is approximately 3.141592653589793.
- When comparing this value to 3.1416:
- The value of [tex]\(\pi\)[/tex] (3.141592653589793) is slightly less than 3.1416.
- Therefore, the statement [tex]\(\pi \geq 3.1416 \)[/tex] is False.
4. Statement: [tex]\( -5 \leq -5 \)[/tex]
- When comparing a number to itself using [tex]\( \leq \)[/tex] (less than or equal to), the expression holds true because a number is always equal to itself.
- Here, [tex]\( -5 \)[/tex] is equal to [tex]\( -5 \)[/tex].
- Therefore, the statement [tex]\( -5 \leq -5 \)[/tex] is True.
So, filling each answer space with T (True) or F (False), we get:
1. F (False)
2. F (False)
3. F (False)
4. T (True)
Hence, the answers for the given statements are:
1. [tex]\( \boxed{F} \)[/tex]
2. [tex]\( \boxed{F} \)[/tex]
3. [tex]\( \boxed{F} \)[/tex]
4. [tex]\( \boxed{T} \)[/tex]
