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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

If p ⇒ ( p ∨ q) is false, then the truth values of p and q are...

If p⇒p ⇒\left( p ∨ q\right)isfalse,thenthetruthvaluesofis false, then the truth values ofpandandq are respectively

Options

  1. AF,TF, T
  2. BF,FF, F
  3. CT,TT, T
  4. DT,FT, F

Correct answer

D. T,FT, F

Step-by-step solution

p⇒p ⇒\left( p ∨ q\right)isfalsemeansis false meanspistrueandis true and p ∨ qisfalse.<br/><br/>is false.<br /><br />⇒pistrueandbothis true and both pandandqarefalse.<br/><br/>are false.<br /><br />⇒ pistrueandis true andq is false.
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