explain in brief interval as subset of r
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[tex]\huge\red{Answer}[/tex]
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An interval is a subset I of R∗ satisfying the following requirement:
Whenever x < y < z and x,z ∈ I then y ∈ I.... If x < y < z and x,z ∈ ⋂I, then for any I ∈ I, x,z ∈ I. Since I is an interval, y ∈ I as well.
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Answer:
An interval is a subset I of R∗ satisfying the following requirement:
Whenever x < y < z and x,z ∈ I then y ∈ I.... If x < y < z and x,z ∈ ⋂I, then for any I ∈ I, x,z ∈ I. Since I is an interval, y ∈ I as well.