2b Let X be the graph of f(x) = r2/3 given belowthat is, X is the subset of R × R satisfying the given equation.(b)Declare that a subset A of X is basic ifA = Xn B((x, y))for some open ball B.((r, y)) = {(a, b) ER x R| V(x – a)² + (y – b)² < e}.%3D-Let A1 and A2 be basic subsets of X.i. Is Aj U A2 a basic subset of X?ii. Is A N A2 a basic subset of X?

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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Question

Let X be the graph of f(x) = r2/3 given below
that is, X is the subset of R × R satisfying the given equation.
(b)
Declare that a subset A of X is basic if
A = Xn B((x, y))
for some open ball B.((r, y)) = {(a, b) ER x R| V(x – a)² + (y – b)² < e}.
%3D
-
Let A1 and A2 be basic subsets of X.
i. Is Aj U A2 a basic subset of X?
ii. Is A N A2 a basic subset of X?

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