1. Algebra Problems… Algebra Problems… © 2007 Herbert I. Gross Set 9 By Herbert I. Gross and Richard A. Medeiros next

2. The following five problems are designed to help you make sure that you have internalized the material in this presentation. We suggest that you treat these problems as if they were a test. © 2007 Herbert I. Gross After you have worked on these problems check your answers against the ones that are given. Then read through our solutions and commentary in the Problem/Solution PowerPoint Presentation. next

3. Tell which of the following statements are true and which are false. In each case explain your choice. © 2007 Herbert I. Gross

4. next The relationship “is less than” is transitive but neither reflexive nor symmetric. Problem #1 © 2007 Herbert I. Gross

5. next The relationship “lives next door to” is transitive. Problem #2 © 2007 Herbert I. Gross

6. next The symmetry property tells us that 3 × 5 = 5 × 3. Problem #3 © 2007 Herbert I. Gross

7. next The relationship “has the same color hair as” is an equivalence relation. Problem #4 © 2007 Herbert I. Gross

8. next The relationship “is the sister of” is symmetric. Problem #5 © 2007 Herbert I. Gross