QUESTION 3 Let f: R → R be the Dirichlet function (f(x) = 1 if x EQ, and 0 otherwise). Define A to be the set of numbers where f(x) ≤x. Which of the following correctly expresses A O A=(QN[0,1]) U (1,0) O A=([0,1] Q)U(1,0) O A=(-∞,0)U(QN[0,1]) O A=([0,1] QU[1,∞)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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QUESTION 3
Let f: R → R be the Dirichlet function (f(x) = 1 if x EQ, and 0 otherwise).
Define A to be the set of numbers where f(x) ≤x. Which of the following correctly expresses A?
O A=(QN[0,1]) U (1,0)
O A=([0,1] Q)U(1,0)
O A=(-∞,0)U(QN[0,1])
O A=([0,1] QU[1,∞)
Transcribed Image Text:QUESTION 3 Let f: R → R be the Dirichlet function (f(x) = 1 if x EQ, and 0 otherwise). Define A to be the set of numbers where f(x) ≤x. Which of the following correctly expresses A? O A=(QN[0,1]) U (1,0) O A=([0,1] Q)U(1,0) O A=(-∞,0)U(QN[0,1]) O A=([0,1] QU[1,∞)
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