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Sets

Short Answer Type

81.

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

106 Views

82.

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

105 Views

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}

123 Views

84.

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

97 Views

85.

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

136 Views

86.

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

102 Views

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

88.

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

103 Views

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.