Number 30

Level 2 Write the negation of each statement in Problems 20-27. 20. All mathematicians are ogres. 21. All dogs have fleas. 22. No even integers are divisible by 5. 23. No triangles are squares. 24. All squares are rectangles. 25. All counting numbers are divisible by 1. 26. Some apples are rotten. 27. Some integers are not odd. 28. Let p: Prices will rise; q: Taxes will rise. Translate each of the following statements into symbols. a. Prices will rise, or taxes will not rise. b. Prices will rise, and taxes will not rise. c. Prices will rise, and taxes will rise. d. Prices will not rise, and taxes will rise. 29. Assume that prices rise and taxes also rise. Under these assumptions, which of the statements in Problem 28 are true? 30. Assume that prices rise and taxes do not rise. Under these assumptions, which of the statements in Problem 28 are true