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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].

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