Logic Symbols

p: The girl wears a red hat.
q: The boy wears a blue coat.
Which of the following statements is equivalent to

 $p\wedge q$  ?

• The girl wears a red hat and the boy wears a blue coat.

• The girl wears a red hat or the boy wears a blue coat.

• If the girl wears a red hat, then the boy wears a blue coat.

• The boy wears a blue coat if and only if the girl wears a red hat.

Tags

CCSS.HSS.CP.A.1

Given:
p: It snows on Sunday.
q: It rains on Saturday.

Which of the following states:

 $p\therefore q$  ?

• It snows on Sunday, therefore it rains on Saturday.

• It snows on Sunday or it rains on Saturday.

• If it snows on Sunday, then it rains on Saturday.

• It rains on Sunday or it snows on Saturday.

Tags

CCSS.HSS.CP.A.1

Given:
p: It will rain on Saturday.
q: We will play in the park.

Write the following statement using logic symbols.
If it does not rain on Saturday, then we will play in the park.

•  $\sim p\rightarrow q$  

•  $p\rightarrow q$  

•  $\sim p\wedge q$  

•  $\sim q\rightarrow p$  

Tags

CCSS.HSS.CP.A.3

Given:
p: Juan eats apples.
q: Juan drinks juice.

Write the following:

 $p\vee\sim q$  

• Juan eats apples or Juan does not drink juice.

• Juan eats apples and Juan drinks juice.

• If Juan eats apples, then Juan does not drink juice.

• Juan does not eat apples or drink juice.

Tags

CCSS.HSS.CP.A.1

Given:
p: Six students eat candy.
q: It rains on Tuesday.

Which of the following states:

 $\sim q\rightarrow\sim p$  

• If it does not rain on Tuesday, then six students will not eat candy.

• If six students do not eat candy, then it does not rain on Tuesday.

• Six students do not eat candy, and it does not rain on Tuesday.

• It does not rain on Tuesday or six students will not eat candy.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.5

Given:

p: Victor gets paid on Friday.

q: Victor eats Tacos for dinner.

r: Victor goes to the game.

Write the following in logic symbols:

If Victor eats tacos for dinner, then he does not go to the game.

• $q\rightarrow\sim r$

• $p\rightarrow\sim q$

• $p\rightarrow\sim r$

• $q\vee\sim r$

Given:
p: Emma wears a green dress.
q: Maria wears a pink dress.
r: Vera wears a blue dress.

Which states:

 $\left(p\wedge r\right)\rightarrow q$  

• If Emma wears a green dress and Vera wears a blue dress, then Maria wears a pink dress.

• If Emma wears a green dress then Maria wears a pink dress.

• If Emma wears a green dress, then Vera wears a blue dress and Maria wears a pink dress.

• Emma wears a green dress and Vera wears a blue dress and Maria wears a pink dress.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.3

Given:

p: Arturo paints.

q: David draws.

r: Marcus sculpts.

Write in logic symbols: If Marcus sculpts, then Arturo paints or David does not draw.

• $r\rightarrow\left(p\vee\sim q\right)$

• $r\rightarrow\left(p\wedge\sim q\right)$

• $p\rightarrow\left(q\vee\sim r\right)$

• $r\wedge p\wedge\sim q$

Tags

CCSS.HSS.CP.A.1