Answer :
Final answer:
The correct solution to the inequality x + 3 < 2x - 6 is x > 9, which is not listed among the provided options.
Explanation:
The inequality x + 3 < 2x - 6 can be solved by isolating the variable x on one side. First, we subtract x from both sides:
x + 3 - x < 2x - 6 - x
3 < x - 6
Next, we add 6 to both sides to solve for x:
3 + 6 < x - 6 + 6
9 < x
Hence, the solution to the inequality is x > 9. The correct equivalent inequality is x > 9, which is not one of the provided options A, B, C, or D.
