Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Indicate whether the following statements are true or false.

1. [tex]2 \leq 2[/tex]
2. [tex]-2 \geq -2.5 \geq -3[/tex]
3. [tex]10000 \ \textgreater \ -1000000[/tex]
4. [tex]2 = 2[/tex]
5. [tex]2 \geq 2[/tex]
6. [tex]-2 \leq -2.5 \leq -3[/tex]
7. [tex]-4 \ \textless \ 1[/tex]

Sagot :

GinnyAnswer
Let's analyze each statement individually to determine if it is true or false:

1. Statement: [tex]\(2 \leq 2\)[/tex]
- Here, we check if 2 is less than or equal to 2. Since 2 is equal to 2, this statement is true.
- Result: True

2. Statement: [tex]\(-2 \geq -2.5 \geq -3\)[/tex]
- This is a compound inequality. First, we check [tex]\(-2 \geq -2.5\)[/tex]. Since [tex]\(-2\)[/tex] is greater than [tex]\(-2.5\)[/tex], the first part is true.
- Next, we check [tex]\(-2.5 \geq -3\)[/tex]. Since [tex]\(-2.5\)[/tex] is greater than [tex]\(-3\)[/tex], the second part is true as well.
- Since both parts are true, the entire compound inequality is true.
- Result: True

3. Statement: [tex]\(10000 > -1000000\)[/tex]
- We need to determine if [tex]\(10000\)[/tex] is greater than [tex]\(-1000000\)[/tex]. This is evidently true since [tex]\(10000\)[/tex] is a large positive number and [tex]\(-1000000\)[/tex] is a large negative number.
- Result: True

4. Statement: [tex]\(2 = 2\)[/tex]
- Here, we verify if [tex]\(2\)[/tex] is equal to [tex]\(2\)[/tex]. This is directly true as both sides of the equation match.
- Result: True

5. Statement: [tex]\(2 \geq 2\)[/tex]
- We check if [tex]\(2\)[/tex] is greater than or equal to [tex]\(2\)[/tex]. Since [tex]\(2\)[/tex] is equal to [tex]\(2\)[/tex], this statement is true.
- Result: True

6. Statement: [tex]\(-2 \leq -2.5 \leq -3\)[/tex]
- This is another compound inequality. First, we check [tex]\(-2 \leq -2.5\)[/tex]. Since [tex]\(-2.5\)[/tex] is less than [tex]\(-2\)[/tex], this is false.
- For the second part, [tex]\(-2.5 \leq -3\)[/tex], it is false since [tex]\(-2.5\)[/tex] is not less than or equal to [tex]\(-3\)[/tex].
- Because the first part of the statement is false, the entire compound inequality is false.
- Result: False

7. Statement: [tex]\(-4 < 1\)[/tex]
- We need to determine if [tex]\(-4\)[/tex] is less than [tex]\(1\)[/tex]. This is clearly true since [tex]\(-4\)[/tex] is a negative number and [tex]\(1\)[/tex] is a positive number.
- Result: True

In summary, here are the results for each statement:

1. [tex]\(2 \leq 2\)[/tex] is True
2. [tex]\(-2 \geq -2.5 \geq -3\)[/tex] is True
3. [tex]\(10000 > -1000000\)[/tex] is True
4. [tex]\(2 = 2\)[/tex] is True
5. [tex]\(2 \geq 2\)[/tex] is True
6. [tex]\(-2 \leq -2.5 \leq -3\)[/tex] is False
7. [tex]\(-4 < 1\)[/tex] is True
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.