The Boolean expression ~ (p ∨ q) ∨ (~ p ∧ q) is equivalent to

Venn diagram of $~ \left(p ∨ q\right)</p><p><img src="https://cdn-question-pool.Quantrex.app/pyq/jee_main/c4008fd7-f21a-4c5f-aae9-c4dce434d8b4-image.png" style="width: 240px; height: 150px;" /><br />Venn diagram$ of \left(~ p ∧ q\right)


Venn diagram of$~ \left(p ∨ q\right) ∨ \left(~ p ∧ q\right)<br /><img src="https://cdn-question-pool.Quantrex.app/pyq/jee_main/3a8468c1-3350-4438-9776-8c62188ed1b8-image.png" style="width: 250px; height: 157px;" /><br />$~ \left(p ∨ q\right) = \left(~ p ∧ ~ q\right) ∨ \left(~ p ∧ q\right)
$= ~ p ∧ \left(~ q ∨ q\right)$
$= ~ p ∧ T = ~ p$