Give apair of linear inequalities that describes the set of all points in the first quadrant
x > 0
y > 0
What set in what quadrant?
Maths class 10th answer
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To describe the set of all points in the first quadrant, we need to find a pair of linear inequalities that restrict the values of x and y to be positive.
One possible pair of linear inequalities for the first quadrant is:
x ≥ 0 and y ≥ 0
Explanation:
The inequality x ≥ 0 means that the x-coordinate of any point in the graph is greater than or equal to zero. This ensures that all points lie to the right of the y-axis or on the y-axis itself.
The inequality y ≥ 0 means that the y-coordinate of any point in the graph is greater than or equal to zero. This ensures that all points lie above the x-axis or on the x-axis itself.
Together, these two inequalities restrict the values of x and y to be positive, which defines the first quadrant.