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Determine the solution set for the inequality 4x - 1 > 3x + 2.
Practice Questions
Q1
Determine the solution set for the inequality 4x - 1 > 3x + 2.
x < 3
x > 3
x < 1
x > 1
Questions & Step-by-Step Solutions
Determine the solution set for the inequality 4x - 1 > 3x + 2.
Steps
Concepts
Step 1: Start with the inequality: 4x - 1 > 3x + 2.
Step 2: To isolate x, first subtract 3x from both sides: 4x - 3x - 1 > 2.
Step 3: This simplifies to: x - 1 > 2.
Step 4: Next, add 1 to both sides to isolate x: x > 2 + 1.
Step 5: This simplifies to: x > 3.
Inequalities
– Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation
– Skills in isolating the variable on one side of the inequality.
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