(a) Let A = {r € Z:r> 5}, B = {re Z:r<9} and C= {re Z: 5 ≤ x ≤7}. Find (i) An B (ii) BUC (iii) (AUC) (iv) (AUB) (v) n[P(C)]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5 (a) Let A = {re Z:r> 5}, B = {r €Z:r<9} and C = {re Z: 5 ≤ x ≤ 7}. Find
(i) An B
(ii) BUC
(i) XUY
(iii) (AUC)
(ii) Xºnz
(iv) (AUB)
(b) Let X = {r € R: 3 <r<6}, Y = {x € R: 5 ≤ x ≤7} and Z = {0, 1, 2, 3}. Find
(v) n[P(C)]
(iii) (XnY)UZ
(iv) Xn (YnZ).
Transcribed Image Text:5 (a) Let A = {re Z:r> 5}, B = {r €Z:r<9} and C = {re Z: 5 ≤ x ≤ 7}. Find (i) An B (ii) BUC (i) XUY (iii) (AUC) (ii) Xºnz (iv) (AUB) (b) Let X = {r € R: 3 <r<6}, Y = {x € R: 5 ≤ x ≤7} and Z = {0, 1, 2, 3}. Find (v) n[P(C)] (iii) (XnY)UZ (iv) Xn (YnZ).
Expert Solution
Step 1

# As per the guidelines we are entitled to solve one question at a time, please resubmit the other question if you wish to get it answered.

(a) 
Let A=xZ:x>5, B=xZ:x<9, C=xZ:5x71

(i)

AB=xZ:5<x<9

Therefore AB=6,7,8

(ii)

BC=xZ:x<9

 

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