We appreciate your visit to What is the solution to tex x 2 3 17 tex A tex x 12 tex or tex x 16 tex B tex x 14. 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 :
Final answer:
To find the solution to the inequality |x – 2| + 3 > 17, isolate the absolute value and consider two cases: x - 2 > 0 and x - 2 < 0. Solve for x in each case and combine the solutions.
Explanation:
To find the solution to the inequality |x – 2| + 3 > 17, we first need to isolate the absolute value. We subtract 3 from both sides to get |x - 2| > 14. Then, we have two cases to consider. Case 1: x - 2 > 0. In this case, we solve x - 2 > 14, which gives us x > 16. Case 2: x - 2 < 0. Here, we solve -(x - 2) > 14, which simplifies to -x + 2 > 14. Solving for x, we find x < -12. Putting both cases together, the solution is x < -12 or x > 16.
Learn more about Absolute value inequality here:
https://brainly.com/question/32844662
#SPJ11
Thanks for taking the time to read What is the solution to tex x 2 3 17 tex A tex x 12 tex or tex x 16 tex B tex x 14. 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
Answer:
Option 1
Step-by-step explanation:
[tex]|x-2|<14 \\ \\ x-2<-14, x-2>14 \\ \\ x<-12, x>16[/tex]
