Prove that the set x = [1, 2]u[3, 4] cr is not convex.

2.4 functions 41 (c) the intersection of two closed sets is closed (d) the cortacion product of two closed sets is closed (e) the intersection of two convex sets is convex (1) (from definitions 2.15, 2.16, and 2.17) a closed set contains its boundary points (g) the union and intersection of two bounded sets is bounded for e = 0.1 and € = 10, describe the e-neighborhoods: (a) ) (b) ,1) (c) ,1,-1) prove that the set

Agreeting card company can produce a box of cards for $7.50. if the initial investment by the company was $50,000, how many boxes of cards must be produced before the average cost per box falls to $10.50?

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

If the discriminant if a quadratic equation is 4 which statement describes the roots?