Sx3

S={x|3<x<10}

A={x|4<x<7}

B={x|5<x<9}

Find (A intersect B), (A\' intersect B\'), (A union B)

Solution

1.

We see that A and B meet between 5 to 7. Thus,

(A and B) = {x| 5<x<7} [ANSWER]

2.

(A\' intersect B\') = {x<=4 U x>=7} and {x<=5 U x>=9}

(A\' intersect B\') = {x|x<=4 U x>=9} [ANSWER]

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3.

A U B = {x|4<x<7} U {x|5<x<9} = {x|4<x<9} [ANSWER]