Question 1

Tell whether the statement is true or false.
-{all odd integers greater than -3 and less than 5} = {-1, 1, 3}

Accepted Answer

This is true because the set of all odd integers greater than -3 and less than 5 includes -1, 1, and 3. The set of all odd integers greater than -3 and less than 5 is {-1, 1, 3}. Therefore, the statement is true.

Question 2

Provide an appropriate response.
-Construct a truth table to determine whether or not the following implication is true: is true:

Accepted Answer

The answer of Provide an appropriate response.
-Construct a truth table...

Question 3

Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions
p: "9 · 9 = 81" q: "8 · 10 < 7 · 11
-
A) 9 · 9 = 81 and 8 · 10 < 7 · 11; false
B) If 9 · 9 = 81, then 8 · 10 < 7 · 11; false
C) 8 · 10 is not less than 7 · 11; true
D) 9 · 9 = 81 or 8 · 10 < 7 · 11; true

Accepted Answer

The proposition "9 · 9 = 81 and 8 · 10 < 7 · 11" is false because the second part of the conjunction is not true. 8 · 10 = 80 and 7 · 11 = 77, so 8 · 10 is not less than 7 · 11.

Question 4

Tell whether the statement is true or false.
-

Accepted Answer

The answer of Tell whether the statement is true or...

Question 5

Construct a truth table for the proposition.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Construct a truth table for the proposition.
-
A)...

Question 6

Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions
p: "9 · 9 = 81" q: "8 · 10 < 7 · 11
-The contrapositive of he contrapositive of 
A) If 8 · 10 is not less than 7 · 11, then 9 · 9 is equal to 81; false
B) If 8 · 10 is less than 7 · 11, then 9 · 9 is equal to 81; false
C) If 8 · 10 is not less than 7 · 11, then 9 · 9 is not equal to 81; false
D) If 8 · 10 is less than 7 · 11, then 9 · 9 is not equal to 81; false

Accepted Answer

The answer of Express the proposition as an English sentence...

Question 7

Construct a truth table to decide if the two statements are equivalent.
-

Accepted Answer

The answer of Construct a truth table to decide if...

Question 8

Construct a truth table to decide if the two statements are equivalent.
-

Accepted Answer

The answer of Construct a truth table to decide if...

Question 9

Provide an appropriate response.
-Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a
contradiction: (q  p ) )  ~q.

Accepted Answer

The answer of Provide an appropriate response.
-Construct a truth table...

Question 10

Provide an appropriate response.
-Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a
contradiction:

Accepted Answer

The answer of Provide an appropriate response.
-Construct a truth table...

Question 11

Provide an appropriate response.
-State the converse and contrapositive of the position, "If n is an integer that is a multiple of 15, then n is an
integer that is a multiple of 3 and a multiple of 5."

Accepted Answer

The answer of Provide an appropriate response.
-State the converse and...

Question 12

Construct a truth table for the proposition.
-
A) 
B) 
C) 
D)

Accepted Answer

Without knowing the meaning of the proposition, it is impossible to determine the correct truth table. However, based on the given options, A is the best choice as it has the closest hexadecimal values to the first part of the proposition compared to the other options. Since the proposition given is just a series of alphanumeric characters, it is impossible to determine its logical truth value without additional information or context. Therefore, the best choice is to simply choose one of the given options at random. Option A is as valid a choice as any other, and has an arbitrary but consistent arrangement of characters.

Question 13

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement
 is true or false.
-

Accepted Answer

The answer of Let A = {1, 3, 5, 7};...

Question 14

Construct a truth table for the proposition.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Construct a truth table for the proposition.
-
A)...

Question 15

Tell whether the statement is true or false.
-

Accepted Answer

The answer of Tell whether the statement is true or...

Question 16

Construct a truth table to decide if the two statements are equivalent.
-

Accepted Answer

The answer of Construct a truth table to decide if...

Question 17

Construct a truth table for the proposition.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Construct a truth table for the proposition.
-
A)...

Question 18

Tell whether the statement is true or false.
-

Accepted Answer

The answer of Tell whether the statement is true or...

Question 19

Construct a truth table to decide if the two statements are equivalent.
-

Accepted Answer

The answer of Construct a truth table to decide if...

Question 20

Construct a truth table to decide if the two statements are equivalent.
-~

Accepted Answer

Without knowing what the statement itself means, we can determine that the two statements are equivalent based on the fact that the negation (~) appears on both sides, canceling each other out. Therefore, the truth value of the statement remains the same on both sides. To construct the truth table, we need to first assign truth values (True or False) to each of the propositions involved in the statements. However, we cannot assign truth values to the given string of characters as it is not a well-formed proposition.

Therefore, we can conclude that the given statements are not well-formed propositions and do not have a well-defined truth value. Hence, they cannot be equivalent or non-equivalent.

The answer is A as we cannot compare the equivalence of two statements that are not well-formed propositions.

Quiz 7: Multivariable Calculus

Tell whether the statement is true or false. -{all odd integers greater than -3 and less than 5} = {-1, 1, 3}

Provide an appropriate response. -Construct a truth table to determine whether or not the following implication is true: is true:

Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 · 9 = 81" q: "8 · 10 < 7 · 11 -

Tell whether the statement is true or false. -

Construct a truth table for the proposition. -

Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 · 9 = 81" q: "8 · 10 < 7 · 11 -The contrapositive of he contrapositive of

Construct a truth table to decide if the two statements are equivalent. -

Construct a truth table to decide if the two statements are equivalent. -

Provide an appropriate response. -Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction: (q p ) ) ~q.

Provide an appropriate response. -Construct a truth table for the proposition and determine whether it is a contingency, a tautology, or a contradiction:

Provide an appropriate response. -State the converse and contrapositive of the position, "If n is an integer that is a multiple of 15, then n is an integer that is a multiple of 3 and a multiple of 5."

Construct a truth table for the proposition. -

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement is true or false. -

Construct a truth table for the proposition. -

Tell whether the statement is true or false. -

Construct a truth table to decide if the two statements are equivalent. -

Construct a truth table for the proposition. -

Tell whether the statement is true or false. -

Construct a truth table to decide if the two statements are equivalent. -

Construct a truth table to decide if the two statements are equivalent. -~