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Solve the inequality 2x - 1 ≥ 3. What is the solution set?
Solve the inequality 2x - 1 ≥ 3. What is the solution set?
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Practice Questions
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Q1
Solve the inequality 2x - 1 ≥ 3. What is the solution set?
x < 2
x > 2
x ≤ 2
x ≥ 2
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2x - 1 ≥ 3 => 2x ≥ 4 => x ≥ 2.
Questions & Step-by-step Solutions
1 item
Q
Q: Solve the inequality 2x - 1 ≥ 3. What is the solution set?
Solution:
2x - 1 ≥ 3 => 2x ≥ 4 => x ≥ 2.
Steps: 5
Show Steps
Step 1: Start with the inequality: 2x - 1 ≥ 3.
Step 2: Add 1 to both sides of the inequality to isolate the term with x. This gives you: 2x - 1 + 1 ≥ 3 + 1.
Step 3: Simplify both sides. You get: 2x ≥ 4.
Step 4: Now, divide both sides by 2 to solve for x. This gives you: 2x / 2 ≥ 4 / 2.
Step 5: Simplify again. You get: x ≥ 2.
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