Solve the inequality, and graph the solution on a number line.
6x-6<6(x-1)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. The solution is
B. there is no solution.
C. the solution is all real numbers
To solve the inequality 6x - 6 < 6(x - 1), we first distribute the 6 on the right side:
6x - 6 < 6x - 6
Next, we can subtract 6x from both sides to simplify:
-6 < -6
This is a false statement. Since this inequality is false, there is no solution. Therefore, the correct choice is B. there is no solution.