We appreciate your visit to Which of the following are solutions to the inequality below Select all that apply 69 7 frac f 2 A f 12 B f 140. 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]\( 69 < 7 + \frac{f}{2} \)[/tex] and determine which values from the list satisfy this inequality, we'll check each provided value of [tex]\( f \)[/tex].
The inequality can be rewritten in simpler terms:
1. Start with the inequality:
[tex]\[ 69 < 7 + \frac{f}{2} \][/tex]
2. Subtract 7 from both sides to isolate [tex]\(\frac{f}{2}\)[/tex]:
[tex]\[ 69 - 7 < \frac{f}{2} \][/tex]
3. Simplify the left side:
[tex]\[ 62 < \frac{f}{2} \][/tex]
4. Multiply both sides by 2 to solve for [tex]\( f \)[/tex]:
[tex]\[ 124 < f \][/tex]
Now, let's check each value of [tex]\( f \)[/tex] to see if it is greater than 124:
- [tex]\( f = 12 \)[/tex]:
[tex]\( 12 \)[/tex] is not greater than [tex]\( 124 \)[/tex], so it is not a solution.
- [tex]\( f = 140 \)[/tex]:
[tex]\( 140 \)[/tex] is greater than [tex]\( 124 \)[/tex], so it is a solution.
- [tex]\( f = 136 \)[/tex]:
[tex]\( 136 \)[/tex] is greater than [tex]\( 124 \)[/tex], so it is a solution.
- [tex]\( f = 84 \)[/tex]:
[tex]\( 84 \)[/tex] is not greater than [tex]\( 124 \)[/tex], so it is not a solution.
Thus, the values that satisfy the inequality are [tex]\( f = 140 \)[/tex] and [tex]\( f = 136 \)[/tex].
The inequality can be rewritten in simpler terms:
1. Start with the inequality:
[tex]\[ 69 < 7 + \frac{f}{2} \][/tex]
2. Subtract 7 from both sides to isolate [tex]\(\frac{f}{2}\)[/tex]:
[tex]\[ 69 - 7 < \frac{f}{2} \][/tex]
3. Simplify the left side:
[tex]\[ 62 < \frac{f}{2} \][/tex]
4. Multiply both sides by 2 to solve for [tex]\( f \)[/tex]:
[tex]\[ 124 < f \][/tex]
Now, let's check each value of [tex]\( f \)[/tex] to see if it is greater than 124:
- [tex]\( f = 12 \)[/tex]:
[tex]\( 12 \)[/tex] is not greater than [tex]\( 124 \)[/tex], so it is not a solution.
- [tex]\( f = 140 \)[/tex]:
[tex]\( 140 \)[/tex] is greater than [tex]\( 124 \)[/tex], so it is a solution.
- [tex]\( f = 136 \)[/tex]:
[tex]\( 136 \)[/tex] is greater than [tex]\( 124 \)[/tex], so it is a solution.
- [tex]\( f = 84 \)[/tex]:
[tex]\( 84 \)[/tex] is not greater than [tex]\( 124 \)[/tex], so it is not a solution.
Thus, the values that satisfy the inequality are [tex]\( f = 140 \)[/tex] and [tex]\( f = 136 \)[/tex].
Thanks for taking the time to read Which of the following are solutions to the inequality below Select all that apply 69 7 frac f 2 A f 12 B f 140. 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
