Define Intersection Math

We write a b c.

Define intersection math. The set of points common to two geometric configurations. For any a and b one has a b b a. The act process or result of intersecting. That is for any sets a b and c one has a b c a b c.

The set of elements common to two or more sets especially. If an element is in just one set it is not part of the intersection. A place or area where two or more things such as streets intersect. The operation of finding the intersection of two or more sets.

The red and blue lines have an intersection. Intersection is an associative operation. A place where things intersect especially a place where two or more roads cross. Intersection is also commutative.

The intersection of the soccer and tennis sets is just casey and drew only casey and drew are in both sets which can be written. The intersection of two sets has only the elements common to both sets. Where lines cross over where they have a common point. In the figure above we would say that point k is the intersection of line segments pq and ab.

A b given two sets a and b define their intersection to be the set a b x u x a x b loosely speaking a b contains elements common to both a and b. Given three sets a b and c the intersection is the set that contains elements or objects that belong to a b and to c at the same time. Soccer tennis casey drew. The act or process of intersecting.

Definition of the union of three sets. Only the elements that are in both sets. Note that two line segments need not necessarily intersect anywhere. In the figure above adjust point b upwards until the two line segments no longer intersect.

It thus makes sense to talk about intersections of multiple sets. The intersection of a b c and d for example is unambiguously written a b c d. In fact since the empty set is included in any set the intersection of the empty set with any set is the empty set.