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Sets

Short Answer Type

71. Let A, B, C, be three sets. If A ∪ Band B ∊ C, then A ∊ C. Is the statement true ? If not give example.

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72.

Distributive Laws

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73.

Write the following intervals in the set-builder form and mark them on the number line.

(i) (-3,0) (ii) [6, 12] (iii) (6, 12]

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74.

$space space space space space space space space space space space space space space space space space space open parentheses straight A union straight B close parentheses union straight C$

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75.

Idempotent Laws

$space space space space space space space space space straight A space union space straight A space equals space straight A$

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76. Identity Laws

$space space space space space space space space space space space space space space space space left parenthesis straight i right parenthesis space straight A space union space straight X space equals space straight X space space space space space space space space space space space space left parenthesis Ii right parenthesis space space straight A space union space straight ϕ space equals space straight A space space space space space space left parenthesis iii right parenthesis space straight A space intersection space straight phi space equals space straight ϕ$

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77.

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78.

If A = {3, 6, 9, 12, 15, 18, 21}, B = { 4, 8, 12, 16, 20 }, C = { 2, 4, 6, 8, 10, 12, 14, 16 }, D = {5, 10, 15, 20 }; find (i) A – B (ii) A – C (iii) A – D (iv) B – A (v) C – A (vi) D – A (vii) B – C (viii) B – D (ix) C – B (x) D – B (xi) C – D (xii) D – C.

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79.
If a =- {1, 2, 3, 4}, B = {3, 4, 5, 6}, C = {5, 6, 7, 8}, D = {7, 8, 9, 10}, Find

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