Question

Find the least upper bound (if it exists) and the greatest lower bound (if it exists) for the set: x∈([infinity],3]

Answer 1

The least upper bound for the set x∈([infinity],3] is 3 and there is no greatest lower bound.

Step-by-step explanation:

The set x denotes the set of all values of x that are greater than or equal to infinity (which is not a real number) and less than or equal to 3. Since infinity is not a real number, we can disregard it and consider the interval as [3].

In this case, 3 is the least upper bound because it is the highest value in the set and there is no value greater than 3. However, there is no greatest lower bound because the set has no lower limit.

Learn more about Upper and Lower Bounds