1.2 Now consider the following sets:{(x, y) : a² +y² < 4}(5)X =Y{(x, y) : -x +y < -2}(6)1.2.1 Draw the set S = X nY in R2. Is this newly formed set S open, closed orneither? Why?1.2.2 Is clS U X¢ open, closed or neither? Substantiate your answer. [1.2.3 Is clS a compact set or not? Substantiate your answer, with specific refer-ence to the properties of set S.

Given: X = x, y : x2 + y2 < 4Y = x, y : -x + y < -2

1.2 Now consider the following sets: X {(x, y) : x² + y² < 4} (5) %3D Y = {(x, y) : -x +y < -2} (6) 1.2.1 Draw the set S = XnY in R². Is this newly formed set S open, closed or neither? Why? 1.2.2 Is clS U XC open, closed or neither? Substantiate your answer. [ 1.2.3 Is clS a compact set or not? Substantiate your answer, with specific refer- ence to the properties of set S.

1.2 Now consider the following sets: X {(x, y) : x² + y² < 4} (5) %3D Y = {(x, y) : -x +y < -2} (6) 1.2.1 Draw the set S = XnY in R². Is this newly formed set S open, closed or neither? Why? 1.2.2 Is clS U XC open, closed or neither? Substantiate your answer. [ 1.2.3 Is clS a compact set or not? Substantiate your answer, with specific refer- ence to the properties of set S.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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