# Write inequalities to describe the sets in Exercises 45–46.45. The half-space consisting of the points on and below the xy-plane46. The upper hemisphere of the sphere of radius 1 centered at the origin

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Write inequalities to describe the sets in Exercises 45–46.

45. The half-space consisting of the points on and below the xy-plane

46. The upper hemisphere of the sphere of radius 1 centered at the origin

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Step 1

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To determine the equation of the half space consisting of the points on and below xy-plane.

Step 2

Given:

The points lie on and below the xy-plane.

Step 3

The equation space with points on the xy-plane is z=0.

The equation space with points below the xy-plane i...

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