Let the universal set the set of R of all real numbers and Let A={x in R|-1

Let the universal set the set of R of all real numbers and Let A={x in R|-1<x underset(-)(<)0} & B={x in R|0underset(-)(<)X<1} a:find A cup B b:Find A cap B c:Find A^c

Question
Discrete math
asked 2020-11-03
Let the universal set the set of R of all real numbers and
Let \(A={x in R|-1
a:find \(A cup B\)
b:Find \(A cap B\)
c:Find \(A^c\)

Answers (1)

2020-11-04
Step 1:
It is given that universal set is R, \(A={xinR|-1 and
\(B={xinR|0underset(-)(<)x<1}\)</span>
a.Obtain the set \(A cup B\) as follows:
\(A cup B={xinR|-1
\(={xinR|-1
Step 2:
b: Obtain the set \(A cap B\) as follows
\(AcapB={xinR|-1
\(={xinR|x=0}\)
={0}c.Obrain the set \(A^c\) as follows:
\(A^c=(R\A)\)
\(=R\{xinR|-1
\(=(-oo,-1]cup(0,oo)\)
0

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