1. Let A = [1, 3], B = (2, 5], and C= {2}. Write the inequalities (or equalities) that specify each ofthe following sets.a. A x (BC)b.(A x B) (A x C)

We will just use of definitions of different type of sets

Answered: 1. Let A = [1, 3], B = (2, 5], and C=…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. Draw the solution set for each of the following inequalities. a. x -3.5 ++ + ++ -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 b. x < 1/1/0 2 3 4 5 6 7 ++ 4+ 11 101 1 -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 + 6 8 + 9 ++ 7 8 9 Getty Images/Chris Gramily Cover design. und 100
In the assignment problem, the optimal solution is arrived when: a. Number of rows less than number of columns b. Number of columns less than number of rows c. Each row and column has only one zero d. Each row and column has at least one zero e. Number of lines = number of rows + 2* number of columns
B. Pick a point that is a solution and verify your solution region algebraically. Be sure to check each inequality and show your work below. Point: es. Substitute your-point into: y 2 |x - 3|- 6 C. Is (3, 0) a solution? D. Is (1, 3) a solution? E. Is (-2, 4) a solution? F. Is (0, -2) a solution?
Challenge. Now show that for any set of n positive numbers, we have 1 (c1 + c2 + · · · + cn) ( 1 +• · ·+ Cn > n? C1 C2 with equality if, and only if, c1 = c2 = = Cn· . .. Challenge. Now solve Puzzle 2. (Hint: Let c be the cost of one gallon of gloop on day i.)
3. Jack and Jill work at the same store. Jack's total weekly salary, in dollars, if he sells x items is given by S= = 100 + 5x, and Jill's total weekly salary, in dollars, if she sells x items is given by S = 80 + 6x. If they sell the same number of items in a week, what is the minimum number of items they have to sell so that Jill's weekly salary is at least $300 more than Jack's? Ver

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1. Let A = [1, 3], B = (2, 5], and C= {2}. Write the inequalities (or equalities) that specify each of the following sets. a. b. A x (BC) (A x B) (A x C)