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If A={x: |x|lt2},B={x: |x-5|le2}, C={x...

If `A={x: |x|lt2},B={x: |x-5|le2}`,
`C={x: |x|gtx}andD={x: |x|ltx}`
The number of integral values in `AnnC` is

A

1

B

2

C

3

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
`A={x: |x|lt2}={x:-2ltxlt2}=(-2,2)`
`B={x: |x-5|le2}={x:-2lex-5le2}`
`={x:3lexle7}=[3,7]`
`C={x: |x|gtx}={x:xlt0}=(-oo,0)`
and `D={x: |x|ltx}=phi`
`AuuC=(-2,2)nn(-oo,0)=(-2,0)`
Integral value in `AnnC` is -1
`therefore` Number of integral values in `AnnC` is 1.
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