Problem 2. Prove or disprove that for all sets A, B, and C, we have (a) Ax (BUC) = (A x B) U (A x C) (b) Ax (BC) = (A× B) - (A× C) 3-2 (c) Ax (BUC) = Ax (BUC) 3-1

2. Find |A-'A"BA¬| where -2 1 4 -1 -4 -1 1 3 1 3 5 A = 5 В -1 2 1 -1 2 -1 -7 1 4 2 -3 7

Compute AB if

2 11 5,D = -1 -2) 3 3 1] 4. 5] 6. Let, A =| 3 -4 1 -1 Now if AD=B, Then b32 =?

5. Use a table to express the values of each of these Boolean functions. а) F(x, у, 2) %3DХу b) F(x, y, 2) —х + уz с) F(x, у, 2) —ху+ (хуг) d) F(x, y, 2) — x(уz + у2)

Let w(2) = In(2) (principal argument). Let X be the real axis (straight line). Then O w(X) is two circles O w(X) is a circle O w(X) is more than two vertical lines O w(X) is a horizontal line O w(X) is two rays O w(X) is a vertical line O w(X) is a ray O w(X) is two horizontal lines O w(X) is two vertical lines O w(X) is more than two horizontal lines O None of the other options is true