How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and y > 2x + One-third? The System of inequality is , 1. y > 2 x p 2. y < 2 x p Suppose we assign some values to p and q and draw its graph And, then the inequality sign on both inequalities is reversed 3. y < 2 x p 4. y > 2 x p And , then draw it's graph it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality. Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. What did you include in your response? Check all that apply. The shaded area would reverse on both inequalities. The graphs do not overlap until the signs are reversed. There are an infinite number of solutions in the system once the signs are reversed. There are no solutions before they are reversed.Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. What did you include in your response? Check all that apply. The shaded area would reverse on both inequalities. The graphs do not overlap until the signs are reversed. There are an infinite number of solutions in the system once the signs are reversed. There are no solutions before they are reversed.Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. What did you include in your response? Check all that apply. The shaded area would reverse on both inequalities. The graphs do not overlap until the signs are reversed. There are an infinite number of solutions in the system There are no solutions before they are reversed.