Munoz O'Quinn
09/20/2024 · Elementary School
Solve the compound inequality. \( 4 x-7>-31 \) or \( 5 x+2 \leq 17 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 4x-7>-31 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(4x-7>-31\)
- step1: Move the constant to the right side:
\(4x>-31+7\)
- step2: Add the numbers:
\(4x>-24\)
- step3: Divide both sides:
\(\frac{4x}{4}>\frac{-24}{4}\)
- step4: Divide the numbers:
\(x>-6\)
Solve the equation \( 5x+2\leq 17 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(5x+2\leq 17\)
- step1: Move the constant to the right side:
\(5x\leq 17-2\)
- step2: Subtract the numbers:
\(5x\leq 15\)
- step3: Divide both sides:
\(\frac{5x}{5}\leq \frac{15}{5}\)
- step4: Divide the numbers:
\(x\leq 3\)
The solution to the compound inequality \(4x-7>-31\) or \(5x+2 \leq 17\) is \(x > -6\) or \(x \leq 3\).
Quick Answer
\(x > -6\) or \(x \leq 3\)
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