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Solve the inequality 2x - 7 ≥ 3. What is the solution?
Solve the inequality 2x - 7 ≥ 3. What is the solution?
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Practice Questions
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Q1
Solve the inequality 2x - 7 ≥ 3. What is the solution?
x < 5
x > 5
x ≤ 5
x ≥ 5
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2x - 7 ≥ 3 => 2x ≥ 10 => x ≥ 5.
Questions & Step-by-step Solutions
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Q
Q: Solve the inequality 2x - 7 ≥ 3. What is the solution?
Solution:
2x - 7 ≥ 3 => 2x ≥ 10 => x ≥ 5.
Steps: 5
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Step 1: Start with the inequality: 2x - 7 ≥ 3.
Step 2: Add 7 to both sides of the inequality to isolate the term with x. This gives you: 2x - 7 + 7 ≥ 3 + 7.
Step 3: Simplify both sides. The left side becomes 2x and the right side becomes 10. So now you have: 2x ≥ 10.
Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you: 2x / 2 ≥ 10 / 2.
Step 5: Simplify again. The left side becomes x and the right side becomes 5. So now you have: x ≥ 5.
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