Вариант 1

1. Дано: А = [–8; 8) ,

B = ( 1; +∞ ),

C = ( – ∞; 3 ]

Найти:

1) B (A C); 2) B (A C); 3) C (A B) ; 4) C (A B)

5) C (A B) ; 6) (A C) ( B C); 7) (A B) ( A C) ;

8) (A B) ( B C) ; 9) (A C) ( B C) ; 10) (A B) ( B C)

2. 2. Дано: A = {x | x ≥ 1};

B = {x | x ≤ –3 или x ≥ –1}; C = {x | –4 < x < 9 }

Найти:

1) A B С ; 2) A B С ; 3) A (B C) ; 4) A \ B ; 5) A (C \ B); 6) A (C \ B); 7) (A \ B) ( B \ C) ; 8) (A \ B) \ C; 9) (A B) \ (A B); 10) (A B) C ;

11) A (B C) ; 12) (A B) C; 13) B \ C; 14) (A C) \ B; 15) (A C) \ B;

16) (A C) \ ( B C) ; 17) (A \ C) \ (B \ C); 18) (A C) \ (A B) ;

19) (B C) \ (A C); 20) (B \ C) \ (A \ C)

1. Дано: А = [ 1; 5) ,

B = ( 2; +∞ ), C = ( – ∞; 3 ]

Найти:

1) B (A C); 2) B (A C); 3) C (A B) ; 4) C (A B)

5) C (A B) ; 6) (A C) ( B C); 7) (A B) ( A C) ;

8) (A B) ( B C) ; 9) (A C) ( B C) ; 10) (A B) ( B C)

2. Дано: A = {x | x ≥ 3};

B = {x | x ≤ 0 или x ≥ 2 };

C = {x | –3 < x < 5 }

Найти:

1) A B С ; 2) A B С ; 3) A (B C) ; 4) A \ B ; 5) A (C \ B); 6) A (C \ B); 7) (A \ B) ( B \ C) ; 8) (A \ B) \ C; 9) (A B) \ (A B); 10) (A B) C ;

11) A (B C) ; 12) (A B) C; 13) B \ C; 14) (A C) \ B; 15) (A C) \ B;

16) (A C) \ ( B C) ; 17) (A \ C) \ (B \ C); 18) (A C) \ (A B) ;

19) (B C) \ (A C); 20) (B \ C) \ (A \ C)

1. Дано: А = [–5; 6 ) ,

B = (–3; +∞ ), C = ( – ∞; 2 ]

Найти:

1) B (A C); 2) B (A C); 3) C (A B) ; 4) C (A B)

5) C (A B) ; 6) (A C) ( B C); 7) (A B) ( A C) ;

8) (A B) ( B C) ; 9) (A C) ( B C) ; 10) (A B) ( B C)

2. Дано: A = {x | x ≥ 4};

B = {x | x ≤ 1 или x ≥ 2 };

C = {x | –5< x < 9 }

Найти:

1) A B С ; 2) A B С ; 3) A (B C) ; 4) A \ B ; 5) A (C \ B); 6) A (C \ B); 7) (A \ B) ( B \ C) ; 8) (A \ B) \ C; 9) (A B) \ (A B); 10) (A B) C ;

11) A (B C) ; 12) (A B) C; 13) B \ C; 14) (A C) \ B; 15) (A C) \ B;

16) (A C) \ ( B C) ; 17) (A \ C) \ (B \ C); 18) (A C) \ (A B) ;

19) (B C) \ (A C); 20) (B \ C) \ (A \ C)