Question

4. Let A = {x : x is a multiple of 2 , x < 15),

B = {x : x is a multiple of 3, x < 20),

C = {x : x is a prime, x < 20}.

Write each one of the sets A, B, C in Roster form.

(i) write each one of the sets A,B,C in roster form 

(ii) Find :

(a) A U B

(b) A U C

(c) B u c

(d) A ∩ b

(e) A ∩ b

(f) В ∩ c

6. Let A = {2, 4, 6, 8), B = {6, 8, 10, 12} and C = {7, 8, 9, 10}. Find :

(i) A U B

(ii) A U C 

(iii)B U C

(IV) A ∩ B

(V) A ∩ C

(vi) B ∩ C

3. Write each of the following sets in Roster form and write the cardinal number of each

(i) A = {x : x is an integer, -3 < x < 4}.

(ii) B = {x: 6 N, 3x - 6 < 9}.

(iii) C = {x : x = n2, n e N, 10 <n < 16).

(iv) D = {x:x = W, x - 3 < 2}.

(v) E= {r : x = 2n -1,n e N and n < 6}.

(vi) F = {x : x is a letter in the word 'COMMON'}.

(vii) G = {x: x is a primary colour}.

(viii) H = {x : x is a digit in the numeral 2362).

(ix) J = {x: x = 1/n e N, 4 <n<10}

4. Write each of the following sets in set-builder form :

(i) A = {4, 6, 8, 9, 10, 12, 14, 15, 16, 18).

(ii) B = {1, 2, 3, 5, 6, 10, 15, 30).

(iii) C = {-9, -6, -3, 0, 3, 6, 9, 12, 15).

1 2 3

8

(iv) D= {1/2, 2/3, 3/4, 4/5, 5/6, 6/7, 7/8, 8/9}

(V) E = {1/3, 1/5, 1/7, 1/11 ,1/13, 1/17, 1/19}

(vi) F = {April, June, September, November{

(vii) G = {0}.

(viii) H = { ).

6. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10) be the universal set and let

A = {2, 3, 4, 5, 6} and B = {3, 5, 7, 8) be its subsets.

(1) A

Verify that: (v) (A U B)' = (A' B')

Find :

(i) A'

(ii) B'

(iii) A' ∩ B'

(iv) A' U B'

(v) ( A U B)' = (A ∩ B)'

(vi) (A ∩ B)' = (A' U B')

7. Let U = {a, b, c, d, e, f, g} be the universal set and let its subsets be

A = {a, b, d, e} and B = {b, e,g}.

Verify that : (i) (A U B)' = (A' B')

(ii) (A i B)' = (A'U B')

8. Let U = {3, 6, 9, 12, 15, 18, 21, 24} be the universal set and let

A = {6, 12, 18, 24} be its subset.

Verify that :

(i) A U A = A

(ii) A ∩ A = A

(iii) A ∩ A' = ∅

(iv) AU A' = U

(v) (A)' = A

please answer this correctly please 


please anyone answer this correctly please ​

Answer 1

Answer:

let the number be x

(-6)^-1 * x = ( 9 )^-1

= > 1 / 6 * x = 1 / 9

= > x = 1 / 3 x ( - 2 ) / 1

= > - 2 / 3 .

Step-by-step explanation: