The set of all points in space that are the same distance from a given point is called a sphere.
It is simply the space, which may be any number if dimensions.
3-d space.
Yes, and no. The solution set to an inequality are those points which satisfy the inequality. A linear inequality is one in which no variable has a power greater than 1. Only if there are two variables will the solution be points in a plane; if there are more than two variables then the solution set will be points in a higher space, for example the solution set to the linear inequality x + y + z < 1 is a set of points in three dimensional space.
In 2-dimensional space, a circle. In 3-dimensional space, a sphere.
true
Space
The set of all points in space that are the same distance from a given point is called a sphere.
Space is a boundless, three dimensional set of all points. Collinear is a set of points that are all on the same line and is 3 or more points.
Space
Space
It is simply the space, which may be any number if dimensions.
3-d space.
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
True
all the points in the inscribed circle are also in the bigger circle. If all the points in the outside circle are the set O ... and all the points in the inner circle are the set I... Then I is a subset of O, just like a venn diagram
A circle, sphere or hyper-sphere - depending on the dimensionality of the space.