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Determine the solution set for the inequality 2(x - 1) ≥ 3.
Determine the solution set for the inequality 2(x - 1) ≥ 3.
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Practice Questions
1 question
Q1
Determine the solution set for the inequality 2(x - 1) ≥ 3.
x ≤ 2
x ≥ 2
x ≤ 3
x ≥ 3
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2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Determine the solution set for the inequality 2(x - 1) ≥ 3.
Solution:
2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.
Steps: 4
Show Steps
Step 1: Start with the inequality: 2(x - 1) ≥ 3.
Step 2: Distribute the 2 on the left side: 2 * x - 2 * 1 ≥ 3, which simplifies to 2x - 2 ≥ 3.
Step 3: Add 2 to both sides of the inequality to isolate the term with x: 2x - 2 + 2 ≥ 3 + 2, which simplifies to 2x ≥ 5.
Step 4: Divide both sides by 2 to solve for x: 2x / 2 ≥ 5 / 2, which simplifies to x ≥ 2.5.
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