Which of the following pairs of sets are disjoint? (i) {1, 2, 3,
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    Multiple Choice QuestionsShort Answer Type

    81.

    Let A = { a, b }, B = {a, b, c}. Is A ⊂ B? What is A ∪ B?

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    82.

    If A and B are two sets such that A ⊂ B, then what is A ∪ B?

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    83.

    Which of the following pairs of sets are disjoint?

    (i) {1, 2, 3, 4} and {x : x is a natural number and 4 ≤ x ≤ 6 }

    (ii) { a, e, i, o, u } and { c, d, e, f }

    (iii) {x : x is an even integer } and {x : x is an odd integer}

    (i)  A = {1, 2, 3, 4},    

     
            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 B space equals space space space space space space space space space left curly bracket space straight x thin space space colon space straight x space element of space straight N comma space space 4 space less or equal than space straight x space less or equal than space right curly bracket space equals space left curly bracket 4 comma space 5 comma space 6 right curly bracket 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 rightwards double arrow space space straight A space intersection space straight B space equals space left curly bracket 1 comma space 2 comma space 3 comma space 4 right curly bracket space intersection space left curly bracket 4 comma space 5 comma space 6 right curly bracket space equals space left curly bracket 4 right curly bracket space equals straight ϕ

    Hence, A and B are not disjoint sets.


    (ii)               A = { a, e, i, o, u },   B =  { c, d, e, f }

    <pre>uncaught exception: <b>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</b><br /><br />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<br />#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>

    ∴   A and B are not disjoint sets.


    (iii)    A   =   {x : x is an even integer}
                  = {........, -6, -4, -2, 0, 2, 4, 6, 8, 10, ................}

             B = {and {x : x is an odd integer} = {........., -5, -3, -1, 1, 3, 5, 7, .............}

    space space space space space space space space space space rightwards double arrow space space space space space straight A space intersection space straight B space equals space left curly bracket space space space right curly bracket space equals space straight Ï•

    Hence, A and B are disjoint sets. 


     
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    84.

    Write all the proper subsets of the set A = {1, 3, 5}.


                       

    97 Views
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    85.

    Let  A = {2, 3, 6, 8},  Find (a) P(A) and (b) n[P(A)].

    136 Views
    Answer
    86.

    Write space space space space space space space space space space space space space space space space space space space space space space left parenthesis straight a right parenthesis space space space space straight P left parenthesis straight Ï• right parenthesis space and space straight n left square bracket straight P left parenthesis straight Ï• right parenthesis right square bracket space space space space left parenthesis straight b right parenthesis space space space straight P left curly bracket straight Ï• right curly bracket space and space straight n left curly bracket straight P left curly bracket straight Ï• right curly bracket right square bracket space space space space space space left parenthesis straight c right parenthesis space space straight P left curly bracket straight Ï• comma space left curly bracket straight Ï• right curly bracket right curly bracket space space space and space straight n left curly bracket straight P left curly bracket straight Ï• comma space left curly bracket straight Ï• right curly bracket right curly bracket right square bracket

    102 Views
    Answer
    87.

    Which  of the following sets are comparable?

    A = {a,  b, c}, B = {b, c, d}, C = {b, c, d, e}, D = {a, b, c, ,e}

    116 Views
    Answer
    88.

    Write all the proper subsets of the set  <pre>uncaught exception: <b>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</b><br /><br />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<br />#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>

    103 Views
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    89.

    A = { a, i, o}, B = { e , o, i}, C = {i, ,e, o, u}, D = space space space space space space space space space left curly bracket straight ϕ right curly bracket Write a suitable universal set for A, B, C, and D.

    103 Views
    Answer
    90.

    Mark the following subsets of set R or real numbers, on the number line :

    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 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 space space space space space space space space space space space space space space space space space space left parenthesis straight a right parenthesis space space left curly bracket straight x space colon space straight x space element of space straight R comma space minus 4 space less or equal than space straight x space less or equal than space 2 right curly bracket space space space space space left parenthesis straight b right parenthesis space left curly bracket straight x space colon space straight x space element of space straight R comma space minus 4 space less than space straight x space less or equal than space 0 right curly bracket space space space space left parenthesis straight c right parenthesis space left curly bracket straight x space colon space straight x colon space element of space straight R comma space 2 space less or equal than space straight x space less than space 6 right curly bracket 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 space space space space space space space space space space space space space space space space space left parenthesis straight d right parenthesis space space left curly bracket straight x space colon space straight x space element of space straight R comma space 4 space less than space straight x space less than space 7 right curly bracket

    106 Views
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