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. "