Give apair of linear inequalities that describes the set of all points in the frist quadrant
The pair of linear inequalities that describes the set of all points in the first quadrant is x > 0 and y > 0.
Give asystem of linear inequalities whose solution set is all the points inside arectangle
To describe the set of all points in the first quadrant, we need to consider the coordinates of points in the Cartesian plane. The first quadrant lies in the upper right-hand portion of the plane, where both the x-coordinate and y-coordinate are positive.
A pair of linear inequalities that describes the set of all points in the first quadrant would be:
1) x > 0 - This inequality ensures that the x-coordinate of a point is positive, indicating that it lies to the right of the y-axis.
2) y > 0 - This inequality ensures that the y-coordinate of a point is positive, indicating that it lies above the x-axis.
So, the pair of linear inequalities that describes the set of all points in the first quadrant is x > 0 and y > 0.
To describe the set of all points in the first quadrant using linear inequalities, we need two inequalities to specify the conditions for the values of x and y.
1. The first inequality ensures that x is positive (to be in the first quadrant):
x > 0
2. The second inequality ensures that y is positive (to be in the first quadrant):
y > 0
Together, these two inequalities form a pair that describes the set of all points in the first quadrant.