SOLUTION: Given the following set, select the statement below that is true. A = {q, r, s, t, u} A. p ∈ A B. 5 ∈ A C. r ∉ A D. s ∈ A E. A ⊆ Ø

Algebra ->  Subset -> SOLUTION: Given the following set, select the statement below that is true. A = {q, r, s, t, u} A. p ∈ A B. 5 ∈ A C. r ∉ A D. s ∈ A E. A ⊆ Ø      Log On


   



Question 307468: Given the following set, select the statement below that is true.
A = {q, r, s, t, u}
A. p ∈ A
B. 5 ∈ A
C. r ∉ A
D. s ∈ A
E. A ⊆ Ø

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
p ∈ A simply states "the element 'p' is in the set A". Since this is NOT true (p is nowhere to be found in A), p ∈ A is NOT true.


Similarly, 5 is also NOT in A. So 5 ∈ A is also NOT true.


Since r is in A, this means that r ∈ A is true and r ∉ A is false.


Also, 's' is in A. So s ∈ A is true.


Finally, since A is NOT the empty set, A is NOT a subset of the empty set. Remember, the only subset of the empty set is the empty set itself. So A ⊆ Ø is false.