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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from the figure (i) `A cap B=(-1 , 2] " " (as -1 in A buit -1 notin B)` 
