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ONLINE CLASS OF MATHEMATICS FOR
IX CLASS
TEACHER : SIR AHSAN
TOPIC : SET
Q1: If A = {1, 2, 3, 4, 5}
&
B = {3, 4, 5, 6, 7}
Prove that A – B = A – (A⋂B)
Solution:
Taking L.H.S
A – B = {1, 2, 3, 4, 5} - {3, 4, 5, 6, 7}
A – B = {1, 2}
Taking R.H.S
A – (A⋂B)
First we find (A⋂B)
(A⋂B) = {1, 2, 3, 4, 5} ⋂ {3, 4, 5, 6, 7}
(A⋂B) = {3, 4, 5}
Now,
A – (A⋂B) = {1, 2, 3, 4, 5} – { 3, 4, 5}
A – (A⋂B) = {1, 2}
L.H.S = R.H.S
Hence proved

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A - B

  • 1. ONLINE CLASS OF MATHEMATICS FOR IX CLASS TEACHER : SIR AHSAN TOPIC : SET
  • 2. Q1: If A = {1, 2, 3, 4, 5} & B = {3, 4, 5, 6, 7} Prove that A – B = A – (A⋂B)
  • 3. Solution: Taking L.H.S A – B = {1, 2, 3, 4, 5} - {3, 4, 5, 6, 7} A – B = {1, 2}
  • 4. Taking R.H.S A – (A⋂B) First we find (A⋂B) (A⋂B) = {1, 2, 3, 4, 5} ⋂ {3, 4, 5, 6, 7} (A⋂B) = {3, 4, 5}
  • 5. Now, A – (A⋂B) = {1, 2, 3, 4, 5} – { 3, 4, 5} A – (A⋂B) = {1, 2} L.H.S = R.H.S Hence proved