Their difference problem 5 (ex 2.20) suppose that you place 1000 points at random in a squarer region measuring one foot by one foot. show that at least seven of them must lie within v2 inches of one another. (hint: use 1 ft 12 inches, and generalized php) statements 3 problem 6 (p75) for the statement #1, "e is rational for some nonzero integer r.", write the negation of this statement. a,, is divergent.", problem 7 (test for divergence) for the statement "if lim, a, write the converse, contrapositive, and find the truth values for them. 0. then problem 8 for the statement "if a + b is irrational, then both a and b are irrational.", write the contra- positive and find its truth value. problem 9 show that (p q) = (-p v q) by truth table. problem 10 determine whether the statement is true or false: for any real numbers a and b, ab = 0 implies a 0 or b = 0. "

Phillip had some bricks. he stacked them in 6 equal piles. which expression shows the number of bricks phillip put in each pile? let the variable m stand for the unknown number of bricks. m + 6 m÷6    m−6    6m

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Combine the information in the problem and the chart using the average balance method to solve the problem.