TFTLTEFTFTELTFTFOTTELFTTFFTEE FFFFB. Direction: Construct a truth table for each compound statement. Put the exact sequence of truthvalues on table below. (4 pts each)4. [~ (r ^~ q)]v (~p V q)5. (p ^ q) ^ {~ [~ (~p V q)] ^ q}TruthrvalueTruthvalueThe Conditional and the BiconditionalII.A. Direction: Write each conditional statement in its equivalent disjunctive form. (2 pts each)1. If x is a rational number, then x is a terminating decimal.Equivalent Disjunctive Form:2. If I had a brain, I would be dangerous.Equivalent Disjunctive Form:B. Direction: State whether the given biconditional is true or false. Write T if the statement is true andF if it is false. Assume that x is a real number. (4 pts each)3. x2 = 9 if and only if x = 3.4. x is a positive number if and only if x > 0.5. x is an even number if and oniy if x is not an odd number.%3DIV.Symbolic ArgumentsDirection: Use a truth table to determine whether the argument is valid or invalid. Construct the truth table atthe back of this test material and write the classification of the statement (valid / invalid) on the blank beforeeach item. (5 pts each)1. p + 92. р ^~д. q Vr:-

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Description: TFTLTEFTFTELTFTFOTTELFTTFFTEE FFFFB. Direction: Construct a truth table for each compound statement. Put the exact sequence of truthvalues on table below. (4 pts each)4. [~ (r ^~ q)]v (~p V q)5. (p ^ q) ^ {~ [~ (~p V q)] ^ q}TruthrvalueTruthvalueThe

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Pl -|EFEL B. Direction: Construct a truth table for each compound statement. Put the exact sequence of truth values on table below. (4 pts each) 4. [ (r A~q)] v (~p V q) 5. (p Aq) ^ {~ [~ (~p v q)] ^ q} Truth Truth value r value T. F F F T. F F T

Pl -|EFEL B. Direction: Construct a truth table for each compound statement. Put the exact sequence of truth values on table below. (4 pts each) 4. [ (r A~q)] v (~p V q) 5. (p Aq) ^ {~ [~ (~p v q)] ^ q} Truth Truth value r value T. F F F T. F F T

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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Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

TFTL
TEF
TFTELTFTF
OTTELFTTFF
TEE FFFF
B. Direction: Construct a truth table for each compound statement. Put the exact sequence of truth
values on table below. (4 pts each)
4. [~ (r ^~ q)]v (~p V q)
5. (p ^ q) ^ {~ [~ (~p V q)] ^ q}
Truth
r
value
Truth
value
The Conditional and the Biconditional
II.
A. Direction: Write each conditional statement in its equivalent disjunctive form. (2 pts each)
1. If x is a rational number, then x is a terminating decimal.
Equivalent Disjunctive Form:
2. If I had a brain, I would be dangerous.
Equivalent Disjunctive Form:
B. Direction: State whether the given biconditional is true or false. Write T if the statement is true and
F if it is false. Assume that x is a real number. (4 pts each)
3. x2 = 9 if and only if x = 3.
4. x is a positive number if and only if x > 0.
5. x is an even number if and oniy if x is not an odd number.
%3D
IV.
Symbolic Arguments
Direction: Use a truth table to determine whether the argument is valid or invalid. Construct the truth table at
the back of this test material and write the classification of the statement (valid / invalid) on the blank before
each item. (5 pts each)
1. p + 9
2. р ^~д
. q Vr
:-

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