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.

The inequalities \(\displaystyle{x}^{{2}}+{y}^{{2}}+{z}^{{2}}\le{1}\) represents all the points inside the sphere.