Solve the​ inequality, and graph the solution on a number line.

Question

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

Answer 1

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.