CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Let A = {a, b, {c, d}, e}. Which of the following are false and why ?

(i) {c, d} A                   (ii) {c, d}  ϵ  A            (iii){{c, d} ϵ  A }

(iv) a   ϵ  A                  (v) a  A                     (vi) {a, b, e}  A   

(vii) {a, b, e}  ϵ  A       (viii) {a, b, c}  ϵ  A       (ix) ϕ ϵ  A            (x) { ϕ


Solution

(i) False, {c, d} is an element of A and not a subset of A.

(ii) True, {c, d} is indeed an element of A.

(iii) True,  {c, d} is a subset of A.

(iv) True,

(v) False,  a belong to A and not a subset of A. An element of a set belongs to it whereas a subset of it is contained in it.

(vi) True,  {a, b, e} is a subset of A.

(vii) False,   {a, b, e} is a subset of A, so it does not belong  to A.

(viii) False,  {a, b, c} is not a subset of A.

(ix) False,   ϕ is a subset and not an element of A.

(x) False ,   ϕ and not ( ϕ) is a subset of A.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


Same exercise questions
QuestionImage
QuestionImage
View More...


People also searched for
QuestionImage
QuestionImage
View More...



footer-image