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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 `AuuB` is

A

4

B

6

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
`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`
`AuuB=(-2,2)uu[3,7]`
Integral values in `AuuB` are -1,0,1,3,4,5,6,7.
`therefore` Number of integral values in `AnnB` is 8.
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