AMSCO'S Geometry. New York - Rye High School

40 Logic2. a. Give an example of a statement that is true on some days and false on others.b. Give an example of a statement that is true for some people and false for others.c. Give an example of a statement that is true in some parts of the world and false inothers.Developing SkillsIn 3–10, tell whether or not each of the following is a mathematical sentence.3. Thanksgiving is on the fourth Thursday 4. Albuquerque is a city in New Mexico.in November.5. Where did you go? 6. Twenty sit-ups, 4 times a week7. Be quiet. 8. If Patrick leaps9. y 7 3y 4 10. Tie your shoe.In 11–18, all of the sentences are open sentences. Find the variable in each sentence.11. She is tall. 12. We can vote at age 18.13. 2y 17 14. 14x 8 915. This country has the third largest population. 16. He hit a home run in the World Series.17. It is my favorite food. 18. It is a fraction.In 19–26: a. Tell whether each sentence is true, false, or open. b. If the sentence is an open sentence,identify the variable.19. The Statue of Liberty was given to the United States by France.20. They gained custody of the Panama Canal on December 31, 1999.21. Tallahassee is a city in Montana. 22. A pentagon is a five-sided polygon.23. 6x 4 16 24. 6(10) 4 1625. 6(2) 4 16 26. 2 3 3 2In 27–31, find the truth set for each open sentence using the replacement set {Nevada, Illinois,Massachusetts, Alaska, New York}.27. Its capital is Albany.28. It does not border on or touch an ocean.29. It is on the east coast of the United States.30. It is one of the states of the United States of America.31. It is one of the last two states admitted to the United States of America.