WOLFRAM|DEMONSTRATIONS PROJECT

Set Operations on Intervals

​
intervals in 
1
2
3
intervals in ℬ
1
2
3
​
include endpoints
 endpoints
include endpoints
ℬ endpoints
left
-7.1
-8.4
right
-7.1
-5.4
​
left
-2.4
-0.9
right
0.3
2.3
​
left
5.3
6.3
right
8.3
9.5
initial and simplified input: = {-7.1} ⋃ [-2.4, 0.3] ⋃ [5.3, 8.3] ℬ = [-8.4, -5.4] ⋃ [-0.9, 2.3] ⋃ [6.3, 9.5]
 = {-7.1} ⋃ [-2.4, 0.3] ⋃ [5.3, 8.3] ℬ = [-8.4, -5.4] ⋃ [-0.9, 2.3] ⋃ [6.3, 9.5]
The intersection and union of the sets: ⋂ ℬ = {-7.1} ⋃ [-0.9, 0.3] ⋃ [6.3, 8.3]  ⋃ ℬ = [-8.4, -5.4] ⋃ [-2.4, 2.3] ⋃ [5.3, 9.5]

ℬ
 ⋂ ℬ
 ⋃ ℬ
This Demonstration finds the intersection and union of two sets of real numbers,

and
ℬ
, made up of one to three intervals each. The intervals can have both endpoints included or both excluded.