A) given a set of seven distinct positive integers, prove that there is a pair whose sum or whose difference is a multiple of 10. b) consider a square whose side has length one. suppose we select five points from this square. prove that there are two points whose distance is at most v2/2.

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)