a spinner is divided into eight equal - sized sections, numbered from 1 to 8, inclusive. what is true about…

a spinner is divided into eight equal - sized sections, numbered from 1 to 8, inclusive. what is true about spinning the spinner one time? select three options.\n□s = {1, 2, 3, 4, 5, 6, 7, 8}\n□if a is a subset of s, a could be {1, 2, 3}.\n□if a is a subset of s, a could be {7, 8, 9}.\n□if a subset a represents spinning a number less than 4, then a = {1, 2, 3, 4}.\n□if a subset a represents the complement of spinning an odd number, then a = {2, 4, 6, 8}.

a spinner is divided into eight equal - sized sections, numbered from 1 to 8, inclusive. what is true about spinning the spinner one time? select three options.\n□s = {1, 2, 3, 4, 5, 6, 7, 8}\n□if a is a subset of s, a could be {1, 2, 3}.\n□if a is a subset of s, a could be {7, 8, 9}.\n□if a subset a represents spinning a number less than 4, then a = {1, 2, 3, 4}.\n□if a subset a represents the complement of spinning an odd number, then a = {2, 4, 6, 8}.

Answer

Explanation:

Step1: Analyze set S

The sample - space S of spinning the spinner is the set of all possible outcomes. Since the spinner is numbered from 1 to 8, $S={1,2,3,4,5,6,7,8}$, so the first option is correct.

Step2: Analyze subsets of S

A subset of S contains elements that are in S. Since 9 is not in S, the set ${7,8,9}$ cannot be a subset of S. The set ${1,2,3}$ is a subset of S as 1, 2, and 3 are elements of S, so the second option is correct.

Step3: Analyze number - less - than - 4 subset

If A represents spinning a number less than 4, then $A = {1,2,3}$ (not ${1,2,3,4}$ as 4 is not less than 4), so the fourth option is incorrect.

Step4: Analyze complement of odd numbers

The odd numbers in S are ${1,3,5,7}$. The complement of the set of odd numbers in S is the set of all elements in S that are not odd, which is ${2,4,6,8}$. So the fifth option is correct.

Answer:

  1. $S = {1,2,3,4,5,6,7,8}$
  2. If A is a subset of S, A could be ${1,2,3}$.
  3. If a subset A represents the complement of spinning an odd number, then $A={2,4,6,8}$.