For any r ER, r > 0, define A, = {z € R| - r < x < ² } = (-r, ²). Compute the following unions and intersections. Use interval notation, for example [0,1), (-inf,3]. (for empty set), etc. 1. If I = {r € R | r ≥ 1} then (a) Urc Ar= (-inf,0) (b) relAr= (-1,0)
For any r ER, r > 0, define A, = {z € R| - r < x < ² } = (-r, ²). Compute the following unions and intersections. Use interval notation, for example [0,1), (-inf,3]. (for empty set), etc. 1. If I = {r € R | r ≥ 1} then (a) Urc Ar= (-inf,0) (b) relAr= (-1,0)
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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![For any r ER, r > 0, define A, = {x € R| - r < x < = } = ( −r, ). Compute the following unions and intersections. Use interval
notation, for example [0,1), (-inf,3], {} (for empty set), etc.
1. If I = {r € R | r ≥ 1} then
(a) Urci Ar= (-inf,0)
(b) nrc Ar= (-1,0)
2. If I = {r € Rr > 0} then
(a) Urci Ar =
(b) nrc Ar=
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28be0212-6add-4e8b-b28b-0d77fde38c6d%2F69621fa5-c070-4722-93eb-33c493c3007d%2Ff6ksxv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For any r ER, r > 0, define A, = {x € R| - r < x < = } = ( −r, ). Compute the following unions and intersections. Use interval
notation, for example [0,1), (-inf,3], {} (for empty set), etc.
1. If I = {r € R | r ≥ 1} then
(a) Urci Ar= (-inf,0)
(b) nrc Ar= (-1,0)
2. If I = {r € Rr > 0} then
(a) Urci Ar =
(b) nrc Ar=
=
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