We appreciate your visit to Which of the following are all solutions to tex sqrt x textgreater 9 tex A tex 82 83 84 tex B tex 3 4 5. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the inequality [tex]\(\sqrt{x} > 9\)[/tex], we need to determine the values of [tex]\(x\)[/tex] that satisfy this condition.
1. Remove the square root by squaring both sides: Starting with [tex]\(\sqrt{x} > 9\)[/tex], we square both sides to get rid of the square root:
[tex]\[
x > 9^2
\][/tex]
2. Calculate [tex]\(9^2\)[/tex]: Now we find the value of [tex]\(9^2\)[/tex], which is:
[tex]\[
9^2 = 81
\][/tex]
3. Determine the inequality: The inequality [tex]\(x > 81\)[/tex] tells us that [tex]\(x\)[/tex] should be greater than 81.
4. Check each option:
- Option A: 82, 83, 84
Each of these numbers (82, 83, and 84) is greater than 81. Therefore, this option satisfies the inequality.
- Option B: 3, 4, 5
All these numbers are much less than 81, so this option does not satisfy the inequality.
- Option C: 4, 5, 6
Similar to option B, these are also much less than 81, which means this option doesn't satisfy the inequality.
- Option D: 81, 82, 83
Here, 81 is equal to the threshold, which does not satisfy the strict inequality [tex]\(x > 81\)[/tex]. However, 82 and 83 are greater than 81, but since not all numbers in the list satisfy the condition, this option doesn't fully satisfy the inequality.
Therefore, the list that contains all numbers greater than 81 is Option A: 82, 83, 84.
1. Remove the square root by squaring both sides: Starting with [tex]\(\sqrt{x} > 9\)[/tex], we square both sides to get rid of the square root:
[tex]\[
x > 9^2
\][/tex]
2. Calculate [tex]\(9^2\)[/tex]: Now we find the value of [tex]\(9^2\)[/tex], which is:
[tex]\[
9^2 = 81
\][/tex]
3. Determine the inequality: The inequality [tex]\(x > 81\)[/tex] tells us that [tex]\(x\)[/tex] should be greater than 81.
4. Check each option:
- Option A: 82, 83, 84
Each of these numbers (82, 83, and 84) is greater than 81. Therefore, this option satisfies the inequality.
- Option B: 3, 4, 5
All these numbers are much less than 81, so this option does not satisfy the inequality.
- Option C: 4, 5, 6
Similar to option B, these are also much less than 81, which means this option doesn't satisfy the inequality.
- Option D: 81, 82, 83
Here, 81 is equal to the threshold, which does not satisfy the strict inequality [tex]\(x > 81\)[/tex]. However, 82 and 83 are greater than 81, but since not all numbers in the list satisfy the condition, this option doesn't fully satisfy the inequality.
Therefore, the list that contains all numbers greater than 81 is Option A: 82, 83, 84.
Thanks for taking the time to read Which of the following are all solutions to tex sqrt x textgreater 9 tex A tex 82 83 84 tex B tex 3 4 5. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
