Binomial Theorem

Question
CBSEENMA11014358

Solve the following inequality for real x:

3 (2 – x) ≥ 2 (1 – x)

Solution

3 (2 – x) ≥ 2 (1 – x)
rightwards double arrow    6 minus 3 straight x greater or equal than 2 minus 2 straight x rightwards double arrow space minus 3 straight x plus 2 straight x greater or equal than 2 minus 6 space rightwards double arrow negative straight x greater or equal than negative 4 rightwards double arrow fraction numerator negative straight x over denominator negative 1 end fraction less or equal than fraction numerator negative 4 over denominator negative 1 end fraction rightwards double arrow straight x less or equal than 4
                                                                                                   (∵ -1 < 0)
rightwards double arrow                 straight x space element of space left parenthesis negative infinity comma space 4 right square bracket
Hence, the solution is <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>

Some More Questions From Binomial Theorem Chapter