ANSWER QUESTION 5 (a)-(j) ONLY! Let the collections A through E be defined as in

Question

ANSWER QUESTION 5 (a)-(j) ONLY!

Let the collections A through E be defined as in Exercise 4. Determine whether the following statements are true or false. emptyset epsilon A f emptysety A If B is any element in B, then 0 epsilon B.v B A C D A intersection E = emptyset B intersection E = emptyset (-2, 2) E (-root 3, root 3) epsilon E Intersection E epsilon B For each collection given below, determine whether the sets of the collection are mutually disjoint. Also, determine whether the collection is nested, and find the union and intersection of the collection. (We use interval notation below: (a, b) = {x epsilon R| a

Explanation / Answer

a) F, the empty set is not an element of A b) T, the empty set is a subset of every set c) T d) F, B A has not negative values in either coordinate e) T, the natural numbers are a subset of the reals, so C is a subset of D f) T, all of the intervals in E will contain negative values, none of the intervals of A will g) F, when the element for n=1 is the same in each collection. h) F, (-2,2) is an element of E, so {(-2,2)} would be a subset, but (-2,2) is just and element. i) T, for n = 3 j) T, the intersection of E is (-1,1) and that is an element of B

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.