Are these true or false and why? (e) p^q(f) q V r(g) r Vs

Name: Are these true or false and why? (e) p^q(f) q V r(g) r Vs
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Are these true or false and why? (e) p^q(f) q V r(g) r Vs

Answered: (e) p^q (f) q V r (g) r Vs

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Are these true or false and why?

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Hello, thanks for your question but according to our policy, I am answering the first three subparts. Please post the remaining subparts again to get their answers.

$p :$ most humans have two feet

$q :$ all humans have three eyes

$r :$ $\exists x$ in real numbers such that $x > 13$

$s : \exists! x$ in the real number such that $x < 23$

e) $p \land q$

Since the statement $p$ is true as all humans have 2 feet but $q$ is false as all the humans do not have 3 eyes.

So, the statement $p \land q$ is false as it is true if both $p, q$ are true.

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