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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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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=
=
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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