Question

# 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

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