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

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103.

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

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104.

Let X {David, Gokul, Ram} be the set of students of class XI who are in the school hockey team. Let Y = {Shyam, David, Geet} be the set of students of class XI who are in the school football team.

(a) Find X ∪; Y and interpret the set.

(b) Find X ∩ Y and interpret the set.

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105.

Find the (a) Union (b) Intersection of the following pair of sets :

$space space space space space space space space space space space space space straight A space equals space left curly bracket space straight x space colon space straight x space element of straight N space and space straight x space is space straight a space multiple space of space 3 right curly bracket comma space straight B space equals space left curly bracket straight x space colon space straight x space element of space straight N comma space straight x space less than space 6 right curly bracket$

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106. Involution law :(A')' = A

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107.

Complement laws :

$space space space space space space space space left parenthesis straight i right parenthesis space straight A space intersection space straight A apostrophe space space equals space straight ϕ space space space space space space left parenthesis ii right parenthesis space space space straight A space union space straight A apostrophe space equals straight U$

$space space space space space space left parenthesis iii right parenthesis space straight ϕ apostrophe space equals space straight U space space space left parenthesis iv right parenthesis space space straight U apostrophe space equals space straight ϕ$

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108. De-Morgan’s Laws :

space space space space space left parenthesis straight i right parenthesis space left parenthesis straight A space union space straight B right parenthesis apostrophe space equals space straight A apostrophe space intersection space straight B apostrophe space space space space space space space space space space

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109. De-Morgan’s Laws :

space space space space space space space space left parenthesis straight A space intersection space straight B right parenthesis apostrophe space space equals space straight A apostrophe space union space straight B apostrophe

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110.
If U = {a, c, d, e, f, g, h}, find the complements of the following sets :

(a) A = {a, b, c} (b) B = {d, e, f, g} (c) C = {a, c, e, g} (d) D = {f, g, h, a}

(a) A' = U - A = {a,b,c,d,e,f,g,h} - {a, b, c} = (d, e, f, g, h}

(b) B' = U - B = {a, b, c, d, e , f, g, h} - {d, e, f, g} = {a, b, c, h}

(c) C ' = U - C = {a, b, c, d, e, f, g} - (a, c, e, g) = {b, d, f, h}

(d) D' = U - D = {a, b, c,, d, e, f, g, h} - {f, g, h, a} = {b, c, d, e}

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