review

Use information to translate the following sentence into symbolic form: "If you do not like onions or you do not like ketchup then you like pickles."

Assume the following statements are true. What is a valid conclusion? Statement A: If Todd goes to the movies, then he will see a horror film. Statement B: Every time Todd watches a horror film, he has nightmares.

• If Todd sees a horror film, then he will not have any nightmares.

• If Todd sees a horror film, then he did not go to the movies.

• If Todd does not go to the movies, then he will still see a horror film.

• If Todd does not have any nightmares, then he did not go to the movies.

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are not a student."

• Inverse

• Converse

• Contrapositive

• Bi-conditional

• None

Given the statement: "If you are a student, then you go to school." Match the statement type: "You are a student if and only if you go to school."

• Inverse

• Converse

• Contrapositive

• Bi-conditional

• None

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you are not a student, then you do not go to school."

• Inverse

• Converse

• Contrapositive

• Bi-conditional

• None

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you do not go to school, then you are a student."

• Inverse

• Converse

• Contrapositive

• Bi-conditional

• None

Given the statement: "If you are a student, then you go to school." Match the statement type: "If you go to school, then you are a student."

• Inverse

• Converse

• Contrapositive

• Bi-conditional

• None

What is the contrapositive of the statement: "If √x = 4 or -4, then x = 16"?

• If x ≠ 16, then √x ≠ 4 and √x ≠ -4

• If x = 16, then √x = 4 or -4

• If √x = 4 or -4, then x ≠ 16

• If x = 16, then √x ≠ 4 and √x ≠ -4

If the following statements are true, what is a valid conclusion? Statement 1: All geometry students have already passed Algebra I. Statement 2: All students who have already passed Algebra I know how to calculate slope.

• All geometry students know how to calculate slope.

• All students who know how to calculate slope have passed Algebra I.

• All students who have passed Algebra I are geometry students.

• All geometry students do not know how to calculate slope.

Tags

CCSS.RI.8.1

CCSS.RI.9-10.1

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Translate the statement "If Joe does not love Chipotle, then he lives in Ashland" into symbolic form using p: Joe lives in Ashland, q: Joe loves Chipotle.

• ¬q → p

• p → ¬q

• q → ¬p

• ¬p → q