QuestionSymbolically express: The stove is hot and I do not get an A using $p$ and $q$ .

Studdy Solution

STEP 1

Assumptions1. The simple statement $p$ represents "The stove is hot." . The simple statement $q$ represents " get an A."
3. The compound statement we are trying to represent symbolically is "The stove is hot and I do not get an A."

STEP 2

In symbolic logic, the conjunction "and" is represented by the symbol $\land$ .

STEP 3

The negation of a statement, represented by "not", is symbolized by $\neg$ .

STEP 4

The compound statement "The stove is hot and I do not get an A" can be broken down into the statements $p$ and $\neg q$ .

STEP 5

We can then combine these statements using the conjunction symbol $\land$ .
$p \land \neg q$ The symbolic form of the compound statement "The stove is hot and I do not get an A" is $p \land \neg q$ .

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QuestionSymbolically express: The stove is hot and I do not get an A using $p$ and $q$ .

Studdy Solution

STEP 1

Assumptions1. The simple statement $p$ represents "The stove is hot." . The simple statement $q$ represents " get an A."
3. The compound statement we are trying to represent symbolically is "The stove is hot and I do not get an A."

STEP 2

In symbolic logic, the conjunction "and" is represented by the symbol $\land$ .

STEP 3

The negation of a statement, represented by "not", is symbolized by $\neg$ .

STEP 4

The compound statement "The stove is hot and I do not get an A" can be broken down into the statements $p$ and $\neg q$ .

STEP 5

We can then combine these statements using the conjunction symbol $\land$ .
$p \land \neg q$ The symbolic form of the compound statement "The stove is hot and I do not get an A" is $p \land \neg q$ .

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QuestionSymbolically express: The stove is hot and I do not get an A using ppp and qqq.

Studdy Solution

STEP 1

Assumptions1. The simple statement ppp represents "The stove is hot." . The simple statement qqq represents " get an A."3. The compound statement we are trying to represent symbolically is "The stove is hot and I do not get an A."

STEP 2

In symbolic logic, the conjunction "and" is represented by the symbol ∧\land∧.

STEP 3

The negation of a statement, represented by "not", is symbolized by ¬\neg¬.

STEP 4

The compound statement "The stove is hot and I do not get an A" can be broken down into the statements ppp and ¬q\neg q¬q.

STEP 5

We can then combine these statements using the conjunction symbol ∧\land∧.p∧¬qp \land \neg qp∧¬qThe symbolic form of the compound statement "The stove is hot and I do not get an A" is p∧¬qp \land \neg qp∧¬q.

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QuestionSymbolically express: The stove is hot and I do not get an A using $p$ and $q$ .

Assumptions1. The simple statement $p$ represents "The stove is hot." . The simple statement $q$ represents " get an A."
3. The compound statement we are trying to represent symbolically is "The stove is hot and I do not get an A."

In symbolic logic, the conjunction "and" is represented by the symbol $\land$ .

The negation of a statement, represented by "not", is symbolized by $\neg$ .

The compound statement "The stove is hot and I do not get an A" can be broken down into the statements $p$ and $\neg q$ .

We can then combine these statements using the conjunction symbol $\land$ .
$p \land \neg q$ The symbolic form of the compound statement "The stove is hot and I do not get an A" is $p \land \neg q$ .