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 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.1

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

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.

• $q\rightarrow\sim r$

• $p\rightarrow\sim q$

• $p\rightarrow\sim r$

• $q\vee\sim r$

Tags

CCSS.HSS.CP.A.5

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.

• tilde - it means not
• tilde - it means so-so
• caret - it means and
• caret - it means or

• turn right

• almost

• then

• and

Tags

CCSS.K.G.A.1

• caret - question
• caret - therefore
• caret - not true
• caret - and

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

• caret - either
• caret - or
• caret - and
• caret - not

Tags

CCSS.8.F.A.3

CCSS.8.F.B.4

CCSS.8.F.B.5

CCSS.8.SP.A.1

CCSS.8.SP.A.2

CCSS.8.SP.A.3