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JEE Main 20203 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
3 September
Shift
Morning Shift
Subject
Mathematics
Chapter
Mathematical Reasoning

JEE Main 2020 · 3 September · Morning Shift · Mathematics · Mathematical Reasoning

The proposition p → ~ (p ∧ ~ q) is equivalent to :

The proposition $p \to ~ \left(p ∧ ~ q\right) is equivalent to :

Options

  1. Aqq
  2. B( p)∨q\left(~ p\right) ∨ q
  3. C( p)∧q\left(~ p\right) ∧ q
  4. D( p)∨( q)\left(~ p\right) ∨ \left(~ q\right)

Correct answer

B. ( p)∨q\left(~ p\right) ∨ q

Step-by-step solution

 (p∧ q)~ \left(p ∧ ~ q\right)

= p∨ ( q)= ~ p ∨ ~ \left(~ q\right) By De Morgan's Laws.

=( p)∨q= \left(~ p\right) ∨ q

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