Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A=(20, 100], B (90, 150], C {70, 100, 200}, D (10, 30) and E= {x € Z: x=7 (mod 10)}. Find: (1) (Z-Q) and specified in it using the most concise notation. (ii) (A-(D-B)) specified using interval notation. (iii) ((A-B)UC-D) specified using set builder notation without any word (iv) The power set P(C) of C by listing down the elements directly. (v) (E-A) specified using the most concise set builder notation without any word.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let Z be the set of all integers and Q be the set of all rational numbers and R be the set of all real numbers, A=(20, 100], B (90, 150], C {70, 100, 200}, D (10, 30) and E= {x € Z: x=7 (mod 10)}.

Find:

(1) (Z-Q) and specified in it using the most concise notation.

(ii) (A-(D-B)) specified using interval notation.

(iii) ((A-B)UC-D) specified using set builder notation without any word

(iv) The power set P(C) of C by listing down the elements directly.

(v) (E-A) specified using the most concise set builder notation without any word.

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