Solve the inequality 3x - 5 > 7. Which of the following represents the solution set?

Solve the inequality 3x - 5 > 7. Which of the following represents the solution set?

• A. X < 4
• B. X > 4
• C. X ≤ 4
• D. X ≥ 4

Answer: (B)

The inequality is solved by isolating x. Start with 3x - 5 > 7. Add 5 to both sides to get 3x > 12. Divide by the positive number 3, yielding x > 4. Since the inequality is strict, 4 itself is not included in the solution. So the solution set is all real numbers greater than 4, i.e., x > 4. The option that states x > 4 is the correct representation.

The inequality is solved by isolating x. Start with 3x - 5 > 7. Add 5 to both sides to get 3x > 12. Divide by the positive number 3, yielding x > 4. Since the inequality is strict, 4 itself is not included in the solution. So the solution set is all real numbers greater than 4, i.e., x > 4. The option that states x > 4 is the correct representation.