For any r € R. r > 0, define A, = { €R] =r< x < } = (-r, 7). 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= (b) nrc Ar= 2. If I = {r € R|r> 0} then (a) Urci Ar= (b) Orel Ar=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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For any r ER, r > 0, define A, = {x € R| - r < x < } } = (-r, 7). Compute the following unions and intersections. Use interval
notation, for example [0,1), (-inf,3], {} (for empty set), etc.
1. If I = {r € Rr > 1} then
(a) Urc Ar=
(b) nrc1 Ar =
2. If I = {r € Rr > 0} then
(a) Urci Ar=
(b) nrcI Ar=
Transcribed Image Text:For any r ER, r > 0, define A, = {x € R| - r < x < } } = (-r, 7). Compute the following unions and intersections. Use interval notation, for example [0,1), (-inf,3], {} (for empty set), etc. 1. If I = {r € Rr > 1} then (a) Urc Ar= (b) nrc1 Ar = 2. If I = {r € Rr > 0} then (a) Urci Ar= (b) nrcI Ar=
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