Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false.

1. [tex] -5 \ \textless \ -9 [/tex]
2. [tex] -2 \ \textless \ -2 [/tex]
3. [tex] \pi \geq 3.1416 [/tex]
4. [tex] -5 \leq -5 [/tex]

Sagot :

GinnyAnswer
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]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.