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MATH 1301 Assignment 3.1 Statements & Logical Connectives UTA 2024

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Student:., ; i Legault, Juan Silva, Math Dept Assignment: 3.1 Statements and Logical
Date: 03/25/24 Course: 2242-MATH-1301-502- Connectives
CONTEMPORARY MATH

Fill in the blank.

A sentence that can be judged either true or false is called a(n)

A sentence that can be judged either true or false is called a(n) statement.

2. Fillin the blank.

A statement that consists of two or more simple statements is called a statement.

A statement that consists of two or more simple statements is called a compound statement.


3. Select the correct choices that complete the sentences below.

a) The negation is symbolized by ~ and is read " .
b) The conjunction is symbolized by A and is read "
c¢) The disjunction is symbolized by Vv and is read " N

a) The negation is symbolized by ~ and is read "not."


b) The conjunction is symbolized by A and is read "and."

c) The disjunction is symbolized by v and is read “or."


@Decide whether the following statement is compound. If it is a compound statement, indicate whether it is a negation,
conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

Julie's sister likes swimming for fun.

Is the statement a compound statement?


¥ No

Yes

If the statement is compound, is it a negation, conjunction, disjunction, conditional, or biconditional? Choose the correct answer below.


* A. conditional, —

B. negation, ~
¥ C. The statement is simple.

: D. disjunction, Vv

E. conjunction, A
> F. biconditional, <

, 5. Indicate whether the statement is a simple or a compound statement. If it is a compound statement, indicate whether it is a negation,
conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

Statement: A triangle is isosceles if and only if it has two sides that are the same length.

Is the above statement simple or compound?


A. The statement is a simple statement because it has only one idea.

:¥B. The statement is a compound statement because it combines two or more simple statements.

C. The statement is a compound statement because it has only one idea.
7.+ D. The statement is a simple statement because it combines two or more simple statements.

If the statement is compound, is it a negation, conjunction, disjunction, conditional, or biconditional? Select the correct choice below and,
if necessary, fill in the answer box to complete your choice.


" A. The statement is a disjunction. It is represented by the symbol

- B. The statement is a conditional. It is represented by the symbol

»* €. The statement is a conjunction. It is represented by the symbol

© D. The statement is a negation. It is represented by the symbol

WE, The statement is a biconditional. It is represented by the symbol «

: F. The statement is simple.


6. Indicate whether the statement is a simple or a compound statement. If it is a compound statement, indicate whether it is a negation,
conjunction, disjunction, conditional, or biconditional by using both the word and its appropriate symbol.

Statement: Dave likes to play football and he likes to play soccer.

Is the above statement simple or compound?

* A, The statement is a simple statement because it combines two or more simple statements.

. B. The statement is a simple statement because it has only one idea.
.- C. The statement is a compound statement because it has only one idea.
¥D. The statement is a compound statement because it combines two or more simple statements.

If the statement is compound, is it a negation, conjunction, disjunction, conditional, or biconditional? Select the correct choice below and,
if necessary, fill in the answer box to complete your choice.


YA The statement is a conjunction. It is represented by the symbol A

B - The statement is a disjunction. It is represented by the symbol

©: C. The statement is a biconditional. It is represented by the symbol
* + D D. The statement is a conditional. It is represented by the
symbol W

~ E. The statement is a negation. It is represented by the symbol_ M\t«/ o
X
I+ F. The statement is simple. / bV

~




ve V \

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