describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. x^2 + y^2 + z^2 <= 1

Question
describe the sets of points in space whose coordinates satisfy the given inequalities or combinations of equations and inequalities. \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}\le{1}\)

Answers (1)

2021-02-12
As \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}={1}\) represent a sphere. Which have radius 1 and center at the point (0,0,0). So that,
The inequalities \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}\le{1}\) represents all the points inside the sphere.
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