Answered

Get comprehensive solutions to your problems with IDNLearn.com. Discover comprehensive answers to your questions from our community of experienced professionals.

Bhumika is playing with number cards which are
written from 1 to 10. She makes some sets of number
cards as follows:
A
{prime numbers}, B = {odd numbers},
C = {even numbers}, D = {number from 4 to 8} and
E = {number between 2 and 3}
List the elements of above sets and answer the following questions
(a)Which set is an empty set?
=
(b)Which sets are equivalent sets?
=
(c)Write the two subsets of A.
=​

Sagot :

Whitneyagriffin91idn

Answer:

A = {2, 3, 5, 7}

B = {1, 3, 5, 7, 9}

C = {2, 4, 6, 8, 10}

D = {4, 5, 6, 7, 8}

E = {2, 3}

(a) The empty set is a set that has no elements. In this case, set E = { } is the empty set because there are no numbers between 2 and 3 in whole numbers.

(b) Equivalent sets are sets that have the same number of elements. Sets B and D are equivalent sets because they both have 5 elements each.

(c) Two subsets of A can be formed by selecting any combination of elements from set A. Two subsets of A could be:

Subset 1: {2, 5}

Subset 2: {3, 7}

Step-by-step explanation:

Dinofish32idn

Answer: E, None, {2, 3} and {5, 7}

Step-by-step explanation:

Let us first write each set down:

  1. The prime numbers from 1 to 10 are 2, 3, 5, and 7. So, [tex]A = \{2, 3, 5, 7\}\\[/tex].
  2. The odd numbers from 1 to 10 are 1, 3, 5, 7, and 9. So, [tex]B = \{1, 3, 5, 7, 9\}[/tex].
  3. The even numbers from 1 to 10 are 2, 4, 6, 8, & 10. So, [tex]C = \{2, 4, 6, 8, 10\}[/tex].
  4. The numbers from 4 to 8 are 4, 5, 6, 7, and 8. So, [tex]D = \{4, 5, 6, 7, 8 \}[/tex].
  5. Since there aren't any numbers greater than 2 and less than 3 in the cards, [tex]E = \emptyset[/tex].

Using the sets, let's solve each problem:

(a) E is an empty set, as there aren't any whole numbers between 2 and 3.

(b) None of the sets are equivalent to each other.

(c) Two subsets of A could be [tex]\{2, 3\}[/tex] and [tex]\{5, 7\}[/tex].

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.