Logic Symbols Warm-up

• 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.

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.

• 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.7.EE.A.2

CCSS.HSA.SSE.A.2

p→q
What is the inverse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

Tags

CCSS.HSS.CP.A.3

Given:

p: Each student enrolls in a foreign language.

q: All students pass history.

Write the following in logic symbols: Each student enrolls in a foreign language if and only if all students pass history.

Given:

p: Homework is due Monday.

q: There is a test on Wednesday.

Write in logic symbols: If there is a test on Wednesday, then homework is not due Monday.