QuestionSymbolically express: I get an A and I do not study using $p$ and $q$ .

Studdy Solution

STEP 1

Assumptions1. The simple statement $p$ represents I get an A. . The simple statement $q$ represents I study.

STEP 2

The compound statement " get an A and I do not study" can be broken down into two parts " get an A" and " do not study".

STEP 3

The first part of the compound statement, " get an A", corresponds to the simple statement $p$ .

STEP 4

The second part of the compound statement, " do not study", is the negation of the simple statement $q$ . In symbolic form, the negation of a statement is represented by the symbol $\neg$ . Therefore, " do not study" can be represented as $\neg q$ .

STEP 5

The word "and" in the compound statement corresponds to the logical conjunction symbol $\land$ in symbolic form.

STEP 6

Therefore, the compound statement " get an A and I do not study" can be written in symbolic form as $p \land \neg q$ .
The symbolic form of the compound statement " get an A and I do not study" is $p \land \neg q$ .

Was this helpful?

QuestionSymbolically express: I get an A and I do not study using $p$ and $q$ .

Studdy Solution

STEP 1

Assumptions1. The simple statement $p$ represents I get an A. . The simple statement $q$ represents I study.

STEP 2

The compound statement " get an A and I do not study" can be broken down into two parts " get an A" and " do not study".

STEP 3

The first part of the compound statement, " get an A", corresponds to the simple statement $p$ .

STEP 4

The second part of the compound statement, " do not study", is the negation of the simple statement $q$ . In symbolic form, the negation of a statement is represented by the symbol $\neg$ . Therefore, " do not study" can be represented as $\neg q$ .

STEP 5

The word "and" in the compound statement corresponds to the logical conjunction symbol $\land$ in symbolic form.

STEP 6

Therefore, the compound statement " get an A and I do not study" can be written in symbolic form as $p \land \neg q$ .
The symbolic form of the compound statement " get an A and I do not study" is $p \land \neg q$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSymbolically express: I get an A and I do not study using ppp and qqq.

Studdy Solution

STEP 1

Assumptions1. The simple statement ppp represents I get an A. . The simple statement qqq represents I study.

STEP 2

The compound statement " get an A and I do not study" can be broken down into two parts " get an A" and " do not study".

STEP 3

The first part of the compound statement, " get an A", corresponds to the simple statement ppp.

STEP 4

The second part of the compound statement, " do not study", is the negation of the simple statement qqq. In symbolic form, the negation of a statement is represented by the symbol ¬\neg¬. Therefore, " do not study" can be represented as ¬q\neg q¬q.

STEP 5

The word "and" in the compound statement corresponds to the logical conjunction symbol ∧\land∧ in symbolic form.

STEP 6

Therefore, the compound statement " get an A and I do not study" can be written in symbolic form as p∧¬qp \land \neg qp∧¬q.The symbolic form of the compound statement " get an A and I do not study" is p∧¬qp \land \neg qp∧¬q.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSymbolically express: I get an A and I do not study using $p$ and $q$ .

Assumptions1. The simple statement $p$ represents I get an A. . The simple statement $q$ represents I study.

The first part of the compound statement, " get an A", corresponds to the simple statement $p$ .

The second part of the compound statement, " do not study", is the negation of the simple statement $q$ . In symbolic form, the negation of a statement is represented by the symbol $\neg$ . Therefore, " do not study" can be represented as $\neg q$ .

The word "and" in the compound statement corresponds to the logical conjunction symbol $\land$ in symbolic form.

Therefore, the compound statement " get an A and I do not study" can be written in symbolic form as $p \land \neg q$ .
The symbolic form of the compound statement " get an A and I do not study" is $p \land \neg q$ .