Reference no: EM132435299

GMTH 141B Pre-Calculus Assignment - Effat University, Saudi Arabia

Q1. Write each of the following in set-builder notation.

(a) M = {11, 22, 33, 44, 55, 66...}

(b) E = {2, 4, 8, 16, 32, 64, 128, 256, 512, 1024}

(c) W = {0,1, 2, 3, 4, 5, 6, ...}

Q2. Let A= {------, -3, -2, -1, 0, 1, 2, 3, ------}, B = {1, 3, 5, 7, ------}. Insert the appropriate symbol ∈ or ∉, ⊄, and ⊂ in the blank space.

-2 ____ A

10____ B

B ____ A

A ____ B

Q3. S = {a, b, c, d}

i) Write the power set of S. P(S)

ii) Evaluate |P(S)|.

Q4. Write down the union, intersection, and difference of the following pairs of sets:

P = {1, 3, 9, 27} and, Q = {1, 3, 9}

P U Q=

P ∩ Q=

P - Q =

Q - P =

Q5. (a) Use the given Venn diagram to find the following sets:

(i) A ∩ C =

(ii) C - A =

(iii) (A U C) ∩ B =

(iv) (A ∪ B)^C =

Q5. (b) Use the given Venn diagram to find the following sets.

Q6. Let U = {x: x is a natural number less than 10}, A = {x: x is an odd natural number less than 10}, B = {x: x is divisor of 6}, and C = {x: x is divisor of 9}.

(i) Write all the sets in roster form.

(ii) Draw the Venn diagram.

(iii) (A ∩ C) ∩ B

(iv) (A ∪ B) ^C

(v) A - B

(vi) A U (B ∩ C)

(vii) Prove that: (B ∩ C)^C = B^C ∪C^C

Q7. Shade the region of the Venn diagram indicated by the following sets.