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Find the solution set for the inequality 2x - 4 > 0.
Practice Questions
Q1
Find the solution set for the inequality 2x - 4 > 0.
x < 2
x > 2
x ≤ 2
x ≥ 2
Questions & Step-by-Step Solutions
Find the solution set for the inequality 2x - 4 > 0.
Correct Answer: x > 2
Steps
Concepts
Step 1: Start with the inequality: 2x - 4 > 0.
Step 2: Add 4 to both sides of the inequality to isolate the term with x: 2x - 4 + 4 > 0 + 4.
Step 3: Simplify the left side: 2x > 4.
Step 4: Now, divide both sides of the inequality by 2 to solve for x: 2x / 2 > 4 / 2.
Step 5: Simplify the inequality: x > 2.
Inequalities
– Understanding how to manipulate and solve linear inequalities.
Algebraic Manipulation
– Applying algebraic operations to isolate the variable.
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