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Part 1
Solve the​ inequality, and graph the solution on a number line.
3x-3<3(x-1)

1 answer

To solve the inequality 3x-3 < 3(x-1), we will first simplify the expression on both sides and then solve for x.

First, distribute 3 on the right side:

3x - 3 < 3x - 3

Next, let's isolate the variable x by subtracting 3x from both sides:

-3 < -3

This inequality -3 < -3 is not true since -3 is not less than -3. Therefore, there is no solution for this inequality.

If we were to graph this inequality on the number line, we would not shade any region because there is no solution.