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

If sets A = (-3, 2] and B = (-1, 5], then find the following sets
(i) `A cap B` (ii) `A cup B` (iii) `A - B` (iv) `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 capB=(-1,2] " "(as-1in A " but "-1 notin B)`
(ii) `A cupB=(-3,5]`
(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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