Binomial Theorem

Question
CBSEENMA11014365

Solve the following inequality:

space space 7 less or equal than fraction numerator 3 straight x plus 11 over denominator 2 end fraction less or equal than 11


















Solution

space space 7 less or equal than fraction numerator 3 straight x plus 11 over denominator 2 end fraction less or equal than 11
Now,    7 less or equal than fraction numerator 3 straight x plus 11 over denominator 2 end fraction rightwards double arrow 14 less or equal than 3 straight x plus 11 space rightwards double arrow space minus 3 straight x less or equal than 11 minus 14


rightwards double arrow               negative 3 straight x space less or equal than space minus 3 space rightwards double arrow space fraction numerator negative 3 straight x over denominator negative 3 end fraction greater or equal than space fraction numerator negative 3 over denominator negative 3 end fraction space rightwards double arrow space straight x space greater or equal than 1                ...(i)
Also,            fraction numerator 3 straight x plus 11 over denominator 2 end fraction less or equal than 11 space rightwards double arrow space 3 straight x plus 11 space less or equal than space 22 space rightwards double arrow space 3 straight x space less or equal than space 22 space minus 11 space rightwards double arrow space 3 straight x less or equal than 11 space rightwards double arrow space straight x space less or equal than space 11 over 3 ...(ii)
∴ From (i) and (ii), we have <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> which is the required solution of the given inequality.
Hence, the solution set is open square brackets 1 comma space 11 over 3 close square brackets.

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