Respuesta :
Answer:
Option e is true
Step-by-step explanation:
Set:{x/x[tex]\in [1,2)[/tex]}
Least upper bound:
If a non empty set A and A has an upper bound.Then, the number c is least upper bound when it satisfied the following properties
1.[tex]c\geq x[/tex] for x belongs to A.
2.For all real number,if k is an upper bound for A then,[tex]k\geq c[/tex]
Greatest lower bound:
If a non empty set A and A has lower bound.Then, the number c is greatest lower bound when it satisfied the following properties
1.[tex]c\leq x[/tex] for x belongs to A.
2.For all real number,if k is lower bound for A then,[tex]k\leq c[/tex]
Least upper bound=2
Greatest lower bound=1
The least upper bound and the greatest lower bound is (e) lub = 2; glb = 1
How to determine the bounds?
The set is given as:
{ x | x ∈ [1,2) }
The above means that the element x is an element of the set such that x is any value between 1 (inclusive) and 2 (exclusive)
The bound of the set means that;
The least upper bound and the greatest lower bound exist for the set.
The least upper bound is 2, while the greatest lower bound is 1
Hence, the true statement is (e) lub = 2; glb = 1
Read more about set bounds at:
https://brainly.com/question/24327896