Question

Найдите пересечение и Объединение числовых промежутков (-бесконечность; 3] и [1;+бесконечнось), (-4;0] и [4;7), (-16/3/7;16] и [-6;6),(-бесконечность;1/2] и (1/2;+ бесконечнось)

Answer 1

(-∞; 3]U[1; +∞) = (-∞; +∞)

(-∞; 3]∩[1; +∞) = [1; 3]

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       1       3

(-4; 0]U[4; 7) ={∅}

(-4; 0]∩[4; 7) = {∅}

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  -4     0       4    7   

[-16_3/7; 16)∪[-6; 6) = [-16_3/7; 160

[-16_3/7; 16)∩[-6; 6) = [-6; 6)

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-16_3/7      -6            6        16

(-∞; 1/2]∪(1/2; +∞) =(-∞; +∞)

(-∞; 1/2]∩(1/2; +∞) ={∅}

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