3. 3x+3leqslant x-1 and 1+xgt 3-x Inequality: __ Graph: Interval Notation: __

To solve the system of inequalities, we will solve each inequality separately and then find the intersection of the solutions.1. Solving the first inequality: Subtract from both sides: Subtract 3 from both sides: Divide both sides by 2: 2. Solving the second inequality: Add to both sides: Subtract 1 from both sides: Divide both sides by 2: Now, we need to find the intersection of the solutions for both inequalities. The solution for the first inequality is , and the solution for the second inequality is . Since there is no overlap between these two intervals, there is no solution to the system of inequalities.Therefore, the inequality is: or Graph: The graph would show two separate regions, one for and one for , with no overlapping region.Interval Notation: The interval notation for this system of inequalities is or .