Question

If A= {2,3,5,7,8}, B={1,5,9} and /={1,4,6,9} , verify that (i) () / = / ∩ / (ii) B-A = / ∩ B

Answer 1

Given:

$A= \{2,3,5,7,8 \}\\\\B=\{1,5,9\} \\\\/= \{1,4,6,9\}$

To find:

verify

(i) () / = / ∩ /

(ii) B-A = / ∩ B

Solution:

Solving the first proving:

L.H.S part:

$\to / \\\\\to \{1,4,6,9 \}$

Solving the R.H.S part:

$\to / \cap / \\\\ \to \{1,4,6,9 \} \cap \{1,4,6,9 \}\\\\\to \{1,4,6,9 \}$

$\ So, \ L.H.S = R.H.S$

Solving the second proving:

L.H.S part:

$\to B-A \\\\\to \{1,5,9\} - \{2,3,5,7,8\}\\\\\to \{1,9\}$

Solving the R.H.S part:

$\to / \cap B\\\\ \to \{1,4,6,9 \} \cap \{1,5,9 \}\\\\\to \{1,9 \}$

$\ So, \ L.H.S = R.H.S$