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Solve the inequality 4 - x > 2x + 1. What is the solution?
Practice Questions
Q1
Solve the inequality 4 - x > 2x + 1. What is the solution?
x < 1
x > 1
x < 2
x > 2
Questions & Step-by-Step Solutions
Solve the inequality 4 - x > 2x + 1. What is the solution?
Correct Answer: x < 1
Steps
Concepts
Step 1: Start with the inequality: 4 - x > 2x + 1.
Step 2: To isolate x, first move all x terms to one side. Add x to both sides: 4 > 2x + 1 + x.
Step 3: Simplify the right side: 4 > 3x + 1.
Step 4: Now, subtract 1 from both sides to isolate the term with x: 4 - 1 > 3x.
Step 5: This simplifies to: 3 > 3x.
Step 6: Next, divide both sides by 3 to solve for x: 3/3 > x.
Step 7: This simplifies to: 1 > x, or x < 1.
No concepts available.
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