<u>Finding the proportionality constant</u> :
- y = k/x
- 16 = k/(1/2)
- <u>k = 8</u>
<u>Finding y when x = 17</u> :
The value of y is <u>8/17</u> when x = 17.
Given:
The statement is:
{5, 6, 7} = {5, 5, 6, 7, 7}
To find:
Whether the given statement is true or false.
Solution:
Two sets are equal if they have exactly the same elements.
The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.
Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,
{5, 5, 6, 7, 7} = {5, 6, 7}
Therefore, the given statement is true.
Use “desmos” for the graph