Question

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|

Answer 1

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