Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our 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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
