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22. Write the following sets in tabular form :

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

(b) $space space space space space space straight B space equals space open curly brackets straight x space colon space straight x space equals space left parenthesis negative 1 right parenthesis to the power of straight n space. straight n space comma space straight n space space is space straight a space natural space number comma space straight n space less or equal than 5 close curly brackets$

(a) $space space space space space space space space straight x equals space fraction numerator straight n over denominator straight n plus 1 end fraction comma space straight n space element of space straight N comma space straight n space less or equal than space 6$

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

Hence, A $space space space space space space space space space space space space space space space space space space space space space equals space space space space space space space open square brackets 1 half comma space 2 over 3 comma space 4 over 5 comma space 5 over 6 comma space 6 over 7 close square brackets$

(b) $space space space space space space space space space space space space space space space space space straight x equals space left parenthesis negative 1 right parenthesis to the power of straight n. straight n comma space straight n space element of space straight N comma space straight n space less or equal than space 5$

$rightwards double arrow$ x = (-1)^-1.1, (-1)². 2, (-1)³. 3, (-1)⁴.4, (-1)⁵.5

= -1, 2, -3, 4, -5

Hence, B = {-1, 2, -3, 4, -5}

235 Views

23.

Write the set : $space space space space space open curly brackets 1 third comma 2 over 4 comma 3 over 5 comma 4 over 6 comma 5 over 7 comma 6 over 8 comma close curly brackets$ in the set- builder form.

228 Views

24. Which of the following are examples of null set?

Set of odd natural numbers divisible by 2.

213 Views

25. Which of the following are examples of null set?

Set of even prime numbers.

267 Views

26. Which of the following are examples of null set?

{ x : x is a natural numbers, x < 5 and x > 7 }

280 Views

27. Which of the following are examples of null set?

{ y : y is a point common to any two parallel lines}

341 Views

28.

Which of the following sets are finite or infinite?

The set of months of a year

184 Views

29. Which of the following sets are finite or infinite?

{1,2,3,..........}

854 Views

30. Which of the following sets are finite or infinite?

{1,2,3,........,100}

168 Views

(i) {1,2, 3, 6}	(a) {x : x is a prime number and a divisor of 6}
(ii) (2, 3}	(b) {x : x is an odd natural number less than 10}
(iii) (M, A, T, H, E, I, C, S}	(c) {x : x is natural number and divisor of 6}
(iv) (1,3,5, 7, 9}	(d) {x : x is a letter of the word MATHEMATICS}

Previous Year Papers

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22. Write the following sets in tabular form :(a) (b)