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. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.
Sagot :
To solve the inequality [tex]\(-20.2 > 0y\)[/tex], let's break it down step-by-step.
1. Inequality Simplification:
The given inequality is:
[tex]\[-20.2 > 0y\][/tex]
Since [tex]\(0 \times y = 0\)[/tex], the inequality simplifies to:
[tex]\[-20.2 > 0\][/tex]
2. Analyzing the Simplified Inequality:
Now, evaluate the inequality [tex]\(-20.2 > 0\)[/tex]:
- The statement [tex]\(-20.2 > 0\)[/tex] is false because [tex]\(-20.2\)[/tex] is less than 0.
3. Checking Possible Statements:
Now we will analyze each of the provided statements to determine which must be true:
- Statement 1: You cannot divide by zero.
This statement is true as a general mathematical rule; division by zero is undefined.
- Statement 2: The inequality is equivalent to [tex]\(-20.2 > 0\)[/tex], which is false.
This is true because we simplified [tex]\(-20.2 > 0y\)[/tex] to [tex]\(-20.2 > 0\)[/tex], and [tex]\(-20.2 > 0\)[/tex] is indeed false.
- Statement 3: The solution is [tex]\(y > 0\)[/tex].
This statement would imply that the inequality holds for [tex]\(y > 0\)[/tex]. However, we have established that the simplified inequality is false, so there is no value of [tex]\(y\)[/tex] that makes it true.
- Statement 4: The solution is [tex]\(0 > y\)[/tex].
Similar to the previous statement, this implies that the inequality holds for [tex]\(0 > y\)[/tex], which is also incorrect given that the simplified inequality is false.
- Statement 5: The solution is [tex]\(y = 0\)[/tex].
This implies that the inequality holds when [tex]\(y = 0\)[/tex]. Again, this is incorrect because the inequality [tex]\(-20.2 > 0\)[/tex] is false regardless of [tex]\(y\)[/tex]'s value.
4. Conclusion:
The correct statements that must be true are:
- Statement 1: You cannot divide by zero.
- Statement 2: The inequality is equivalent to [tex]\(-20.2 > 0\)[/tex], which is false.
Therefore, the answer is:
[tex]\[ [1, 2] \][/tex]
1. Inequality Simplification:
The given inequality is:
[tex]\[-20.2 > 0y\][/tex]
Since [tex]\(0 \times y = 0\)[/tex], the inequality simplifies to:
[tex]\[-20.2 > 0\][/tex]
2. Analyzing the Simplified Inequality:
Now, evaluate the inequality [tex]\(-20.2 > 0\)[/tex]:
- The statement [tex]\(-20.2 > 0\)[/tex] is false because [tex]\(-20.2\)[/tex] is less than 0.
3. Checking Possible Statements:
Now we will analyze each of the provided statements to determine which must be true:
- Statement 1: You cannot divide by zero.
This statement is true as a general mathematical rule; division by zero is undefined.
- Statement 2: The inequality is equivalent to [tex]\(-20.2 > 0\)[/tex], which is false.
This is true because we simplified [tex]\(-20.2 > 0y\)[/tex] to [tex]\(-20.2 > 0\)[/tex], and [tex]\(-20.2 > 0\)[/tex] is indeed false.
- Statement 3: The solution is [tex]\(y > 0\)[/tex].
This statement would imply that the inequality holds for [tex]\(y > 0\)[/tex]. However, we have established that the simplified inequality is false, so there is no value of [tex]\(y\)[/tex] that makes it true.
- Statement 4: The solution is [tex]\(0 > y\)[/tex].
Similar to the previous statement, this implies that the inequality holds for [tex]\(0 > y\)[/tex], which is also incorrect given that the simplified inequality is false.
- Statement 5: The solution is [tex]\(y = 0\)[/tex].
This implies that the inequality holds when [tex]\(y = 0\)[/tex]. Again, this is incorrect because the inequality [tex]\(-20.2 > 0\)[/tex] is false regardless of [tex]\(y\)[/tex]'s value.
4. Conclusion:
The correct statements that must be true are:
- Statement 1: You cannot divide by zero.
- Statement 2: The inequality is equivalent to [tex]\(-20.2 > 0\)[/tex], which is false.
Therefore, the answer is:
[tex]\[ [1, 2] \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
