#
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* : be a function, and let A be a subset of . 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 . Suppose that A (resp. B) is by a (resp. by b). Are the following two statements true? I. A B is by .

II. A B is by .
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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