How will the solution of the system Y 2x 2 3 and y 2x 1/3 change?

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07-12-2022
Mathematics

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How will the solution of the system Y 2x 2 3 and y 2x 1/3 change?

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-12-09T18:09:13+01:00

There is no intersection and no solution to the system since the region above the line y=2x+2/3 and the region below the line y=2x+1/3 are the solutions to the inequalities y>2x+2/3 and y<2x+1/3, respectively.

In the given question, we have to find the solution of the system Y>2x+2/3 and y<2x+1/3 change.

We firstly draw the two lines y=2x+2/3, and y=2x+1/3.

They are parallel and the line y=2x+2/3 is located over the line y=2x+1/3.

There is no intersection and no solution to the system since the region above the line y=2x+2/3 and the region below the line y=2x+1/3 are the solutions to the inequalities y>2x+2/3 and y<2x+1/3, respectively.

The solution of y2x+2/3 is the region below the line y=2x+2/3, and the solution of y>2x +1/3 is the region above the line y=2x+1/3 when the inequality sign of both inequalities is reversed. This implies that the area between the two lines is where the system's solution lies.

To learn more about solution of inequalities link is here

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The right question is:

How will the solution of the system Y>2x+2/3 and y<2x+1/3 change? If the inequality sign on both inequalities is reversed to y<2x+2/3 and y>2x+1/3?