hw2b - (a) The square of every real number is positive. (b)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Introduction to Mathematical Reasoning Fall 2009 Assignment #2: Due Wednesday, 10/14/09 Part II: 5. For each of the following statements, do the following things: Translate it into symbols. (Be sure that your symbolic statement explicitly in- cludes implied universals and domains of quanti±ers.) Negate the symbolic statement and simplify. (In particular, this means to remove parentheses in expressions of the form ( ... ).) Translate the negated statement back into a clear and precise English sentence, without using the word “no” or “not.”
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (a) The square of every real number is positive. (b) The square of some real number is positive. (c) There is an integer that is larger than its square. (d) Every integer is larger than its square. (e) There is no integer whose square is greater than 0 and less than 1. (f) There is at least one integer whose square is greater than 0 and less than 1. (g) Not every integer has a positive square. (h) If x is a real number such that x 2-x < 2, then x < 2 and x >-1. (i) There is a real number x greater than 2 such that x 2-x > 2....
View Full Document

This note was uploaded on 12/08/2009 for the course MATH 300 taught by Professor Staff during the Spring '08 term at University of Washington.

Ask a homework question - tutors are online