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begin mathsize 12px style If space straight A space equals space open curly brackets straight x space colon space 11 straight x minus 5 space greater than space 7 straight x plus 3 comma space straight x element of straight R close curly brackets space and
straight B equals space open curly brackets straight x colon space 18 straight x minus 9 space greater or equal than space 15 plus 12 straight x comma space straight x element of straight R close curly brackets comma space find space the space range space of space set space straight A space intersection straight B space and space
represent space it space on space the space number space line. end style

Asked by Topperlearning User 8th September 2017, 8:59 AM
Answered by Expert
Answer:

begin mathsize 12px style straight A space equals space open curly brackets straight x space colon space 11 straight x minus 5 thin space greater than space 7 straight x plus 3 comma space straight x element of straight R close curly brackets
11 straight x minus 5 thin space greater than space 7 straight x plus 3
11 straight x minus 7 straight x space greater than space 3 plus 5
4 straight x space greater than space 8
straight x space greater than space 2
straight A space equals space open curly brackets straight x space colon space straight x greater than space 2 comma space straight x element of straight R close curly brackets
straight B equals open curly brackets straight x colon space 18 straight x minus 9 space greater or equal than space 15 plus 12 straight x comma space straight x element of straight R close curly brackets
18 straight x minus 9 space greater or equal than space 15 plus 12 straight x
18 straight x minus 12 straight x space greater or equal than space 15 plus 9
6 straight x space greater or equal than space 24
straight x space greater or equal than 4
straight B equals open curly brackets straight x colon space straight x space greater or equal than space 4 comma space straight x element of straight R close curly brackets end style


Answered by Expert 8th September 2017, 10:59 AM
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