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If sets A= (-3,2] and B= (-1, 5] then fi...

If sets A= (-3,2] and B= (-1, 5] then find the following sets :

A

` A cap B`

B

`A cup B`

C

A-B

D

B- A

Text Solution

Verified by Experts

We have sets A= (-3 ,2) and B= (-1 , 5)
These sets are plotted on real number line as shown in the following figure
from the figure (i) `A cap B=(-1 , 2] " " (as -1 in A buit -1 notin B)`
(ii) `A cup B =(-3 , -1 ] `
(iii) `A-B = (-3,-1] " " (as -1 notin B,so-1 in A-B)`
`(iv) B-A =(2,5] " " (as 2 in A, so 2 notin B- A)`
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