If P, Q and R are three sets, then which of the following is correct?

If P, Q and R are three sets, then which of the following is correct? Correct Answer P ∪ (Q ∩ R) = (P ∪ Q) ∩ (P ∪ R)

[ alt="F15 Tapesh 19-3-2021 Swati D7" src="//storage.googleapis.com/tb-img/production/21/03/F15_Tapesh_19-3-2021_Swati_D7.png" style="width: 261px; height: 233px;">

Explanation:

Given: P, Q, R are three sets.

P ∪ (Q ∩ R)

[ alt="F15 Tapesh 19-3-2021 Swati D5" src="//storage.googleapis.com/tb-img/production/21/03/F15_Tapesh_19-3-2021_Swati_D5.png" style="width: 131px; height: 169px;">

(P ∪ Q) ∩ (P ∪ R)

[ alt="F15 Tapesh 19-3-2021 Swati D6" src="//storage.googleapis.com/tb-img/production/21/03/F15_Tapesh_19-3-2021_Swati_D6.png" style="width: 412px; height: 135px;">

P ∪ (Q ∩ R) = (P ∪ Q) ∩ (P ∪ R)

option 2 is correct.

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