Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
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
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
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
