Watson Schwartz
02/17/2023 · Elementary School
Express the set \( -3 x-7<4 x+14 \) using interval notation To enter the infinity symbol, \( \infty \), use two lowercase o's: 00 Submit Question
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the inequality \( -3x - 7 < 4x + 14 \), we will first isolate \( x \).
1. Start by adding \( 3x \) to both sides:
\[
-7 < 4x + 3x + 14
\]
This simplifies to:
\[
-7 < 7x + 14
\]
2. Next, subtract \( 14 \) from both sides:
\[
-7 - 14 < 7x
\]
This simplifies to:
\[
-21 < 7x
\]
3. Now, divide both sides by \( 7 \):
\[
-3 < x
\]
or equivalently,
\[
x > -3
\]
In interval notation, this is expressed as:
\[
(-3, \infty)
\]
Thus, the solution to the inequality \( -3x - 7 < 4x + 14 \) in interval notation is:
\[
\boxed{(-3, 00)}
\]
Quick Answer
\[
(-3, \infty)
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real 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
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
