Choose the correct solution in roster form.
N is the set of natural numbers that are factors of 12.
(1 point)
Responses
{1, 2, 3, 4, 6}
{1, 2, 3, 4, 6}
{1, 2, 3, 4, 6, 12}
{1, 2, 3, 4, 6, 12}
{1, 2, 3, 4, 5, 6, 8, 12}
{1, 2, 3, 4, 5, 6, 8, 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{1, 2, 3, 4, 6}
Write the solution to the inequality in set-builder notation.
5r + 8 < 63
(1 point)
Responses
{r | r < 11}
{ r | r < 11}
{r | r < 15}
{ r | r < 15}
{r | r < 71}
{ r | r < 71}
{r | r < 8}
{ r | r < 8}
{r | r < 11}
Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P = {2, 4, 6, 8}. What is P' ?
(1 point)
Responses
{2, 4, 6, 8}
{2, 4, 6, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 3, 5, 7}
{1, 3, 5, 7, 8}
{1, 3, 5, 7}
Use the following information to answer the question.
Suppose U = {0, 1, 2, 3, 4, 5, 6}, A = {2, 4, 6}, and B = {1, 2, 3}. Tell whether each statement is true or false.
Asubset of or equal toU
(1 point)
Responses
true
true
false
false
Use the following information to answer the question.
Suppose U = {0, 1, 2, 3, 4, 5, 6}, A = {2, 4, 6}, and B = {1, 2, 3}. Tell whether each statement is true or false.
Bsubset of or equal toA
(1 point)
Responses
true
true
false
false
To find the natural numbers that are factors of 12, we need to determine which numbers can evenly divide 12 without leaving a remainder. The factor of a number is a whole number that divides the given number evenly.
To find the factors of 12, we can start by listing all the whole numbers less than or equal to 12 and checking if they divide 12 evenly.
1 divided by 12 gives a remainder of 0, so 1 is a factor of 12.
2 divided by 12 gives a remainder of 0, so 2 is a factor of 12.
3 divided by 12 gives a remainder of 0, so 3 is a factor of 12.
4 divided by 12 gives a remainder of 0, so 4 is a factor of 12.
5 divided by 12 does not give a remainder of 0, so 5 is not a factor of 12.
6 divided by 12 gives a remainder of 0, so 6 is a factor of 12.
7 divided by 12 does not give a remainder of 0, so 7 is not a factor of 12.
8 divided by 12 does not give a remainder of 0, so 8 is not a factor of 12.
9 divided by 12 does not give a remainder of 0, so 9 is not a factor of 12.
10 divided by 12 does not give a remainder of 0, so 10 is not a factor of 12.
11 divided by 12 does not give a remainder of 0, so 11 is not a factor of 12.
12 divided by 12 gives a remainder of 0, so 12 is a factor of 12.
So, the natural numbers that are factors of 12 are: {1, 2, 3, 4, 6, 12}.
Therefore, the correct solution in roster form is: {1, 2, 3, 4, 6, 12}.