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