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Find the solution set for the inequality 2x + 4 < 3x - 1.
Practice Questions
Q1
Find the solution set for the inequality 2x + 4 < 3x - 1.
x < 5
x > 5
x ≤ 5
x ≥ 5
Questions & Step-by-Step Solutions
Find the solution set for the inequality 2x + 4 < 3x - 1.
Correct Answer: x > 5
Steps
Concepts
Step 1: Start with the inequality: 2x + 4 < 3x - 1.
Step 2: To isolate x, first subtract 2x from both sides: 4 < 3x - 2x - 1.
Step 3: This simplifies to: 4 < x - 1.
Step 4: Next, add 1 to both sides to isolate x: 4 + 1 < x.
Step 5: This simplifies to: 5 < x.
Step 6: We can also write this as: x > 5.
Inequalities
– Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation
– Skills in rearranging equations and isolating variables.
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