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

The statement is not TRUE as illustrated by the following example :

A = {a, b,}, B = { a, b, c}, C = {a, b, c,}

Clearly, $space space space space space space space space space space space space space space space space space space space space space space space space space space space straight A space subset of space straight B space and space space straight B space element of space straight C space space space space space space space space space space space space space space space space space space space space space space space space space space space space But comma space space straight A space not an element of space straight C$

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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

$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

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80.

If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15}and D = {15, 17}; find (i) A ∩ B (ii) B ∩ C (iii) A ∩ C ∩ D (iv) A ∩ C (v) B ∩ D (vi) A ∩ (B ∪ C) (vii) A ∩ D (viii) A ∩ (B ∪ D) (ix) ( A ∩ B ) ∩ ( B ∪ C ) (x) ( A ∪ D) ∩ ( B ∪ C)

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