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Sets

Short Answer Type

51.

State which of the following sets are finite, which are infinite :

(i) A = {x : x $space space element of$ N, and (x-1) (x - 2) = 0}

(ii) { x : x $space space element of$ N and x²= 25}

(iii) { x: x $space space element of space$ N, 2x-1 = 0}

(iv) { x : x $space space element of$ N, x is prime}

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52. Which set amongst sets in question7 are null sets?

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53.

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(i) {2, 3, 4}........{1, 2, 3, 4, 5}

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54. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(ii) {a, b, c}........{b, c, d)

Let A = { a, b, c}, B = {b, c, d}

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

∴ Every member of set A is not a member of set B

$space space rightwards double arrow$ $space space space space space space space space space straight A space ⊄ space straight B$

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

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55. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(iii) {x : x is a student of class XI of your school}..........{x : x is a student of your school}.

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56. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(iv) {x: x is a circle in the plane}.... {x:x is a circle in the same plane with radius 1 unit}

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57. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

(v) x : x is a triangle in a plane}........{x : x is a rectangle in the plane}

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58. Make correct statement by filling in the symbols ⊂ or ⊄ in the blank spaces :

{x: x is an equilateral triangle in a plane}.....{x : x is a triangle in the same plane}

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