Problem 4. Use the definitions for the sets given below and definitions for common sets given in the lecture slides to determine whether each statement is true or false. A = { x ∈ Z : x is an integer...

Problem 4. Use the definitions for the sets given below and definitions for common sets given in the lecture slides to determine whether each statement is true or false.

• 
  A
  = {x
  ∈ Z :
  x
  is an integer multiple of 3}.


• 
  B
  = {3,9,21}


• 
  C
  = {2,11,4,14,2}


• 
  D
  = {x
  ∈ R : 1
  < x="">
  5}


• 
  E
  = {∅}

4(a) ∅ ∈ ∅

4(b) Z⁺
⊂ Q⁺

4(c) 37 ∈
A

4(d)
B
⊆
C

4(e) |C| = 5

4(f)
C
⊂
C

4(g)
C
⊆
C

4(h)
π
⊂
D

4(i) {π} ⊂
D

4(j) ∅ ⊂
E

4(k) ∅ ⊆
E

4(l)
E
⊆
B