Question

plzzz anser fast..... its urgent......​

Answer 1

Answer:

Incorrect / untrue statements are:

(i), (v), (vii), (viii), (ix), (xi)

Step-by-step explanation:

Throughout, notice that A has four elements.  The four elements of A are the numbers 1, 2 and 5 and the set {3,4}.

(i)  {3, 4} ⊂ A means that {3, 4} is a subset of A.  This means that all the elements of {3, 4} are elements of A.  But 3, which is an element of {3, 4}, is NOT an element of A.  So this statement is false.

(v) 1 ⊂ A means that 1 is a subset of A.  This means that all the elements of 1 are elements of A.  But this doesn't even make sense because to talk about "elements of 1" we would need 1 to be set, which it isn't... it's a number.  So this statement is false.

(vii) {1, 2, 5} ∈ A means that the single entity that is the set {1, 2, 5} must itself be an element of A.  But it is not; the only elements of A are the numbers 1, 2 and 5, and the set {3, 4}.  So this statement is false.

(viii) {1, 2, 3} ⊂ A means that {1, 2, 3} is a subset of A.  This means that all the elements of {1, 2, 3} are elements of A.  But 3, which is one of the elements of {1, 2, 3}, is NOT an element of A.  so this statement is false.

(ix) ∅ ∈ A means that ∅ is an element of A.  But it is not; the only elements of A are the numbers 1, 2 and 5, and the set {3, 4}.  So this statement is false.

(xi) {∅} ⊂ A means that {∅} is a subset of A.  This means that all the elements of {∅} are elements of A.  But ∅, which is an element of {∅} (the only element!), is NOT an element of A.  So this statement is false.