Simplify:
2(a -3) + 4b - 2(a -b -3) + 5
Solve:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
If x <2, simplify:
|x - 2| - 4|-6|
Answers
Step-by-step explanation:
Chapter 6 Review
1. N = {−3, −2, −1} 3. S = {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6),
(2, 1), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 4), (3, 5), (3, 6),
(4, 1), (4, 2), (4, 3), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 6),
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5)} 5. A ∪ B = {a, b, d},
A × B = {(a, a), (a, d), (b, a), (b, d)} 7. A × B
9. (P ∩ E ∩ Q) or P ∪ E ∪ Q 11. n(A ∪ B) =
n(A) + n(B) − n(A ∩ B), n(C
) = n(S) − n(C); 100
13. n(A × B) = n(A)n(B), n(A ∪ B) = n(A) + n(B) −
n(A ∩ B), n(A
) = n(S) − n(A), 21
15. C(12, 1)C(4, 2)C(11, 3) C(4, 1)C(4, 1)C(4, 1)
17. C(4, 1)C(10, 1) 19. C(4, 4)C(8, 1) = 8
21. C(3, 2)C(9, 3) + C(3, 3)C(9, 2) = 288 23. The set
of books that are either sci-fi or stored in Texas (or both);
n(S ∪ T ) = 112,000 25. The set of books that are either
stored in California or not sci-fi; n(C ∪ S
) = 175,000
27. The romance books that are also horror books or stored in
Texas; n(R ∩ (T ∪ H)) = 20,000 29. 1000
31. FarmerBooks.com; 1800 33. JungleBooks.com; 3500
35. 15,600 37. 2 letters, 4 digits; 2,948,400 39. 28,000