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Find the solution for the inequality 2(x - 1) ≥ 3.
Find the solution for the inequality 2(x - 1) ≥ 3.
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Practice Questions
1 question
Q1
Find the solution for the inequality 2(x - 1) ≥ 3.
x ≥ 2.5
x ≤ 2.5
x ≥ 1.5
x ≤ 1.5
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2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.5.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution for the inequality 2(x - 1) ≥ 3.
Solution:
2(x - 1) ≥ 3 => x - 1 ≥ 1.5 => x ≥ 2.5.
Steps: 7
Show Steps
Step 1: Start with the inequality: 2(x - 1) ≥ 3.
Step 2: Distribute the 2 on the left side: 2 * x - 2 ≥ 3.
Step 3: Rewrite the inequality: 2x - 2 ≥ 3.
Step 4: Add 2 to both sides to isolate the term with x: 2x ≥ 3 + 2.
Step 5: Simplify the right side: 2x ≥ 5.
Step 6: Divide both sides by 2 to solve for x: x ≥ 5 / 2.
Step 7: Simplify 5 / 2 to get x ≥ 2.5.
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