Answered: Let S(c) be the condition "creature c…

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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Related questions

Question

100%

Let S(c) be the condition "creature c is a squirrel" and T(c) be the condition "creature c nests in trees." Check all those creatures which satisfy S→T.

Group of answer choices

Squirrel

Whale

Ostrich

Sparrow

Let S(c) be the condition "creature c is a squirrel" and T(c) be the condition "creature c nests in trees." Check all those creatures which satisfy T→S.

Group of answer choices

Squirrel

Whale

Ostrich

Sparrow

Expert Solution

Step 1

Given S(c) denotes the condition "creature c is a squirrel" and T(c) denotes the condition "creature c nests in trees."

Then S→T means if a creature is a squirrel, then it nests in trees.

The p→q statement is false if p is true and q is false. The p→q statement is true for rest all the cases as shown in the truth table below(T denotes true and F denotes false):

p	q	p→q
T	T	T
T	F	F
F	T	T
F	F	T

Since out of all the given creatures, only squirell and sparrow nests in trees.
So S(c) is T for squirell and F for rest of the creatures.
T(c) is T for squirell and sparrow but F for whale and ostritch.
Thus by above truth table and given information,

creatures Squirell, Whale, Ostritch and Sparrow satisfy S→T.