OEF bounds
--- Introduction ---

This module actually contains 2 exercises on the boundedness of subsets of real numbers: upper bounded, lower bounded, relation with union and intersection, etc.

Image of a function

Let f : RR rightarrow RR be a function, and let A be a subset of RR. Consider the image B=f (A) and the inverse image C=f -1(A) of A.

What can be said about B and C?

You must choose the most precise replies.

Bounder and union

Let A and B be two subsets of RR. Suppose that A (resp. B) is by a (resp. by b). Are the following two statements true?

I. A cap B is by .

II. A cup B is by . The most recent version

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Description: collection of exercises on bounds and boundedness of sets of real numbers. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, analysis, calculus, bound, upper bound, lower bound, bounded