Final answer:
When the inequality signs are reversed, the solution of the system changes. The new solution is a region in the coordinate plane that lies below one line and above another line.
Step-by-step explanation:
When the inequality signs are reversed in the system y > 2x + and y < 2x + 2x + 1/3, the solution of the system will change. Let's analyze the new system of inequalities y < 2x + and y > 2x + 2x + 1/3.
In the new system, the first inequality y < 2x + states that y is less than the line represented by y = 2x + . It means that all the points below this line are solutions to this inequality.
The second inequality y > 2x + 2x + 1/3 states that y is greater than the line represented by y = 2x + 2x + 1/3. This means that all the points above this line are solutions to the inequality.
Therefore, the solution of the system will be a region in the coordinate plane that lies below the line y = 2x + and above the line y = 2x + 2x + 1/3.
Learn more about the effect of reversing inequality signs