Math / Algebra

QuestionLet $p$ and $q$ represent the following simple statements: $p$ : It is Tuesday $q$ : I work hard Write the following compound statement in its symbolic form. It is Tuesday and I, work hard.
The symbolic form is $\square$

Studdy Solution

STEP 1

What is this asking? We need to translate the sentence "It is Tuesday and I work hard" into symbolic logic using p and q. Watch out! Don't mix up "and" and "or". "And" means both statements must be true!

STEP 2

1. Represent each simple statement
2. Combine the statements

STEP 3

We're given that $p$ represents "It is Tuesday".
Awesome!

STEP 4

And we're given that $q$ represents "I work hard".
Fantastic!

STEP 5

The word "and" is the key here.
In logic, "and" means both statements must be true.
The symbol we use for "and" is $\wedge$ .
It's like a little mountain peak, connecting two strong ideas!

STEP 6

So, "It is Tuesday and I work hard" translates to $p \wedge q$ .
We've combined the power of p and q!

STEP 7

The symbolic form of "It is Tuesday and I work hard" is $p \wedge q$ .

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QuestionLet $p$ and $q$ represent the following simple statements: $p$ : It is Tuesday $q$ : I work hard Write the following compound statement in its symbolic form. It is Tuesday and I, work hard.
The symbolic form is $\square$

Studdy Solution

STEP 1

What is this asking? We need to translate the sentence "It is Tuesday and I work hard" into symbolic logic using p and q. Watch out! Don't mix up "and" and "or". "And" means both statements must be true!

STEP 2

1. Represent each simple statement
2. Combine the statements

STEP 3

We're given that $p$ represents "It is Tuesday".
Awesome!

STEP 4

And we're given that $q$ represents "I work hard".
Fantastic!

STEP 5

The word "and" is the key here.
In logic, "and" means both statements must be true.
The symbol we use for "and" is $\wedge$ .
It's like a little mountain peak, connecting two strong ideas!

STEP 6

So, "It is Tuesday and I work hard" translates to $p \wedge q$ .
We've combined the power of p and q!

STEP 7

The symbolic form of "It is Tuesday and I work hard" is $p \wedge q$ .

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QuestionLet ppp and qqq represent the following simple statements: ppp : It is Tuesday qqq : I work hard Write the following compound statement in its symbolic form. It is Tuesday and I, work hard.The symbolic form is □\square□

Studdy Solution

STEP 1

What is this asking? We need to translate the sentence "It is Tuesday and I work hard" into symbolic logic using *p* and *q*. Watch out! Don't mix up "and" and "or". "And" means *both* statements must be true!

STEP 2

1. Represent each simple statement2. Combine the statements

STEP 3

We're given that ppp represents "It is Tuesday".Awesome!

STEP 4

And we're given that qqq represents "I work hard".Fantastic!

STEP 5

The word **"and"** is the key here.In logic, "and" means *both* statements must be true.The symbol we use for "and" is ∧\wedge∧.It's like a little mountain peak, connecting two strong ideas!

STEP 6

So, "It is Tuesday **and** I work hard" translates to p∧qp \wedge qp∧q.We've combined the power of *p* and *q*!

STEP 7

The symbolic form of "It is Tuesday and I work hard" is p∧qp \wedge 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.

QuestionLet $p$ and $q$ represent the following simple statements: $p$ : It is Tuesday $q$ : I work hard Write the following compound statement in its symbolic form. It is Tuesday and I, work hard.
The symbolic form is $\square$

What is this asking? We need to translate the sentence "It is Tuesday and I work hard" into symbolic logic using p and q. Watch out! Don't mix up "and" and "or". "And" means both statements must be true!

1. Represent each simple statement
2. Combine the statements

We're given that $p$ represents "It is Tuesday".
Awesome!

And we're given that $q$ represents "I work hard".
Fantastic!

The word "and" is the key here.
In logic, "and" means both statements must be true.
The symbol we use for "and" is $\wedge$ .
It's like a little mountain peak, connecting two strong ideas!

So, "It is Tuesday and I work hard" translates to $p \wedge q$ .
We've combined the power of p and q!

The symbolic form of "It is Tuesday and I work hard" is $p \wedge q$ .