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Find the solution set for the inequality 2(x - 1) ≥ 4.
Find the solution set for the inequality 2(x - 1) ≥ 4.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 2(x - 1) ≥ 4.
x < 3
x > 3
x ≤ 3
x ≥ 3
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2(x - 1) ≥ 4 => x - 1 ≥ 2 => x ≥ 3.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 2(x - 1) ≥ 4.
Solution:
2(x - 1) ≥ 4 => x - 1 ≥ 2 => x ≥ 3.
Steps: 4
Show Steps
Step 1: Start with the inequality: 2(x - 1) ≥ 4.
Step 2: Distribute the 2 on the left side: 2 * x - 2 * 1 ≥ 4, which simplifies to 2x - 2 ≥ 4.
Step 3: Add 2 to both sides of the inequality to isolate the term with x: 2x - 2 + 2 ≥ 4 + 2, which simplifies to 2x ≥ 6.
Step 4: Divide both sides by 2 to solve for x: 2x / 2 ≥ 6 / 2, which simplifies to x ≥ 3.
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