What is the solution of the inequalities 5x + 3 < 8x - 9 and 2x + 20 > 5x + 2?
- A. 4 < x < 6 ✓
- B. 3 < x < 5
- C. x < 3 or x > 5
- D. x < 4 or x > 6
Correct Answer: A. 4 < x < 6
Explanation
For the first inequality: 5x + 3 < 8x - 9 \Rightarrow 12 < 3x \Rightarrow x > 4. For the second: 2x + 20 > 5x + 2 \Rightarrow 18 > 3x \Rightarrow x < 6. Combining both yields 4 < x < 6.
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