Вариант 10

1. Дано: А = [–8; 1 ) ,

B = (–3; +∞ ), C = ( – ∞; –1 ]

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 ≥ 1};

B = {x | x ≤ –2 или x ≥ 0 };

C = {x | –5 < x < 8 }

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 = [2; 8 )

B = (4; +∞ ), C = ( – ∞; 7 ]

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 ≤ 2 или x ≥ 3 };

C = {x | 0 < 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; 5 ) ,

B = (–2; +∞ ), 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 ≥ 1};

B = {x | x ≤ –3 или x ≥ –1 };

C = {x | –7 < x < 3 }

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)