IntervalsExplain 'intervals'?  Give some examples (i.e sets).

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

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The intervals are sets of real numbers.

Examples:

The open interval (-a;b) is the set of real numbers x that have the property:

-a < x < b

All the real numbers located between -a and b, except the end values -a and b, are the elements of the interval (-a,b).

(-a,b) = {x belongs to R / -a < x < b}

The closed interval [-a,b] is the set of real numbers x that have the property:

-a=< x =< b

All the real numbers located between -a and b, including -a and b, are the elements of the interval [-a,b].

There are included also the semi closed intervals:(a,b] or [a,b)

Of course, being sets of ral numbers, one of the endpoints may be infinite. This means that the set has no limit to the left or to the right, depending what endpoint is infinite.

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