Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Given L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5}. Verify that L–(M∪N) = (L–M)∩(L–N)

Given L = \{1, 2, 3, 4\},\ M = \{3, 4, 5, 6\} and N = \{1, 3, 5\}. Verify that L - (M\cup N) = (L-M) \cap (L-N).

Answers (1)

Given that  L = \{1, 2, 3, 4\},\ M = \{3, 4, 5, 6\} and N = \{1, 3, 5\}.

Now,

\begin{aligned} LHS = L - (M\cup N) &= \{1,2,3,4\} - (\{3,4,5,6\} \cup \{1,3,5\}) \\ & = \{1,2,3,4\} - \{1,3,4,5,6\} = \{2\} \end{aligned}

\begin{aligned} RHS& = (L-M)\cap (L-N) \\ (L-M) &= \{1,2,3,4\} - \{3,4,5,6\} = \{1,2\} \\ (L-N) &= \{1,2,3,4\} - \{1,3,5\} = \{2,4\} \\ (L-M) & \cap (L-N) = \{1,2\} \cap \{2,4\} = \{2\} \\ LHS & = RHS\end{aligned}

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question