# 1. Which of the following is a proposition? A. “Look out!” B. “How far is it to the next town?” C. “…

Kung naghahanap ka ng mga sagot sa tanong na: **1. Which of the following is a proposition? A. "Look out!" B. "How far is it to the next town?" C. "...**, napunta ka sa tamang lugar.

Narito ang ilang sagot sa tanong na ito. Mangyaring basahin ang higit pa.

### Tanong

1. Which of the following is a proposition?

A. "Look out!"

B. "How far is it to the next town?"

C. "This sentence is false."

D. "All cows are brown."

2. Given p= "Dipolog is a peaceful city", which of the following illustrates NOT p?

A. "Dapitan is a peaceful City."

B. "It is not the case that Dipolog is a peaceful city?"

C. "Not Dipolog is a peaceful City."

D. "Dipolog is not a city."

3. What are the variables usually used to represent propositions in logic?

A. a, b, c

B. h, i, j

C. p, q, r

D. x, y,z

4. Give the negation of the proposition: "Karen is a Senior High School Student."

i. Karen is not a Senior High School student.

ii. It is not rhe case that Karen is a Seioyr High School student.

iii. Karen will be a Senior High School student soon.

iv. If Karen is a Senior High School, then she is a student.

A. i and ii only

B. i and iv only

C. iii and iv only

D. ii and iii only

5. Which of the following denotes conditional proposition?

A. p ^ q

B. p v q

C. p → q

D. p <–> q

6. Express as a symbol "If Grace has a big head, then Amy like pink and Tony like chocolates" given.

p: "Amy likes pink"

q: "Grace has a big head"

r: "Tony likes to eat chocolates"

A. p → q v r

B. p <–> q ^ r

C. q → p v r

D. q → p ^ r

7. Given p is true and q is false, which of the following would be true?

A. p → q

B. p <–> q

C. ~p <–> ~ q

D. ~p → ~ q

8-10.

Direction: Determine the truth values of the following propositions.

Let p represent "(x - 2) > 3, where x = 4" and let q represent "(y - 1) < 2, where y = 5". Find the truth value of p and q, using the table below.

p q p^q

1. 1. 1.

2. 2. 2.

3. 3. 3.

4. 4. 4.

5. 5. 5.

Uhm... Just imagine that, that is the table. Please wag niyong sagutan kung di niyo alam ang sagot. Thank you.

### Mga sagot sa #1 sa Tanong: 1. Which of the following is a proposition?

A. "Look out!"

B. "How far is it to the next town?"

C. "This sentence is false."

D. "All cows are brown."

2. Given p= "Dipolog is a peaceful city", which of the following illustrates NOT p?

A. "Dapitan is a peaceful City."

B. "It is not the case that Dipolog is a peaceful city?"

C. "Not Dipolog is a peaceful City."

D. "Dipolog is not a city."

3. What are the variables usually used to represent propositions in logic?

A. a, b, c

B. h, i, j

C. p, q, r

D. x, y,z

4. Give the negation of the proposition: "Karen is a Senior High School Student."

i. Karen is not a Senior High School student.

ii. It is not rhe case that Karen is a Seioyr High School student.

iii. Karen will be a Senior High School student soon.

iv. If Karen is a Senior High School, then she is a student.

A. i and ii only

B. i and iv only

C. iii and iv only

D. ii and iii only

5. Which of the following denotes conditional proposition?

A. p ^ q

B. p v q

C. p → q

D. p <–> q

6. Express as a symbol "If Grace has a big head, then Amy like pink and Tony like chocolates" given.

p: "Amy likes pink"

q: "Grace has a big head"

r: "Tony likes to eat chocolates"

A. p → q v r

B. p <–> q ^ r

C. q → p v r

D. q → p ^ r

7. Given p is true and q is false, which of the following would be true?

A. p → q

B. p <–> q

C. ~p <–> ~ q

D. ~p → ~ q

8-10.

Direction: Determine the truth values of the following propositions.

Let p represent "(x - 2) > 3, where x = 4" and let q represent "(y - 1) < 2, where y = 5". Find the truth value of p and q, using the table below.

p q p^q

1. 1. 1.

2. 2. 2.

3. 3. 3.

4. 4. 4.

5. 5. 5.

Uhm... Just imagine that, that is the table. Please wag niyong sagutan kung di niyo alam ang sagot. Thank you.

**Answer:**

1.D 2.A 3.C 4.D 5.A 6.B 7.B

Napakaraming tanong at sagot tungkol sa **1. Which of the following is a proposition? A. "Look out!" B. "How far is it to the next town?" C. "...**, sana ay makatulong ito sa paglutas ng iyong problema.