Gray Donnelly
02/20/2024 · High School
Sea \( S=\left[\frac{-3}{4},-\frac{1}{3}\right) \cup\left(\frac{4}{3}, \frac{7}{4}\right] \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
The set \( S \) is defined as the union of two intervals:
1. The first interval is \( \left[\frac{-3}{4}, -\frac{1}{3}\right) \), which includes all numbers \( x \) such that \( -\frac{3}{4} \leq x < -\frac{1}{3} \). This interval includes the left endpoint \( -\frac{3}{4} \) but does not include the right endpoint \( -\frac{1}{3} \).
2. The second interval is \( \left(\frac{4}{3}, \frac{7}{4}\right] \), which includes all numbers \( x \) such that \( \frac{4}{3} < x \leq \frac{7}{4} \). This interval does not include the left endpoint \( \frac{4}{3} \) but includes the right endpoint \( \frac{7}{4} \).
To summarize, the set \( S \) can be expressed as:
\[
S = \left[\frac{-3}{4}, -\frac{1}{3}\right) \cup \left(\frac{4}{3}, \frac{7}{4}\right]
\]
This means that \( S \) contains all numbers in the first interval and all numbers in the second interval.
If you have any specific questions or need further analysis regarding this set, feel free to ask!
Quick Answer
The set \( S \) is the union of two intervals: \( \left[\frac{-3}{4}, -\frac{1}{3}\right) \) and \( \left(\frac{4}{3}, \frac{7}{4}\right] \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit