What do we call the set of all pointsSolutionThe set of all

What do we call the set of all points?

Solution

The set of all points we say of a collection of points sharing with one common property. That means we consider all the points and not leaving even one point with that common property. The phrase we use while defining a set itself and we call or give a name to \"the set of all points\" having the common characteristic.

Example:The set of all points on a number line is called Real numbers.

Example: The set of all points that have distance 10 cm from a point A defines a circle with radius 10cm with A as centre, in a plane.

Example: The set of all numbers less than 30 but more than 10 that are divisible by 7 is A. Then A = {14,21, 28}. You violate the definition , if you leave one of the element. So, we say \"the set of all points/numbers/elements ..\"etc , when we define a particular set with a paricular property.

Example: The set of all points whose distance is less than or equal to 5cm from a fixed point in A in space, is a sphere of radius 5cm.

Hope this helps.