When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”

After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.

When we graph the three inequalities as equations, we get the below graph. Testing a point within the triangle does in fact fulfill all three conditions, so the shape formed by the inequalities is a triangle. If a tested point within the triangle did not fulfill one or more conditions, then we would have chosen “it does not form a shape.”

After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.

This is the only coordinate point that fulfills the system of inequalities.

The graph of the system of inequalities is shown below. The solution (in purple) does not go into region I or II.

The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.

The graph of the system of inequalities is shown below. The solution (in purple) is present in all four regions.

The x-intercept is (4,0) so whenequals 0,, and the y-intercept is (0,3) so whenequals 0,. These points only work for a line corresponding to. To determine which direction the inequality points, you can plug in any point. If we use (0,0),, so this is the direction the inequality must face.

With this question, it is important to recognize the system of inequalities utilizes the “greater than” sign, not the “greater than or equal to” sign.does not fulfill.appears to fulfill both conditions but. 18 is not greater than 8, leaving onlyas a possible solution.