Answer: No solutions.
Explanation:
We will solve the given inequality for x. However, you will see that this is impossible.
Given:
2(5x + 6) < x - 15 + 9x
Distribute the left side:
10x + 12 < x - 15 + 9x
Combine like terms on the right side:
10x + 12 < 10x - 15
Subtract 12 from both sides of the inequality:
10x < 10x -27
Subtract 10x from both sides of the inequality:
0 < -27 ✗
There are no solutions to this inequality, it is a contradiction.