The property p - q v r - p - q v p - q is called

P nbsp; and; (q nbsp; or; nbsp;r) cong; (p nbsp; and; nbsp;q) nbsp; or; (p nbsp; and; nbsp;r) is called distributive #160;lawonc ...

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Standard XII

Mathematics

Commutative Law of Binary Operation

The property ...

Question

The property $p \land (q \lor r) ≅ (p \land q) \lor (p \land q)$ is called_________________.

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Solution

p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called

$\frac{distributive law}{o n c e q and r} since it distributes P$

i.e. p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called distributive law.

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The property p∧(q∨r)≅(p∧q)∨ (p∧q) is called_________________.

p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called distributive lawonce q and r since it distributes P i.e. p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called distributive law.

The property $p \land (q \lor r) ≅ (p \land q) \lor (p \land q)$ is called_________________.

p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called

$\frac{distributive law}{o n c e q and r} since it distributes P$

i.e. p ∧ (q ∨ r) ≅ (p ∧ q) ∨ (p ∧ r) is called distributive law.