6y=x-18
For it to be the true slope, the left side has to be equal to y, to make this so we divide everything by 6.
y=1/6x-3
So the slope is 1/6
Hope this helps :)
Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:
![\dfrac{1}{2}(x+2)+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28x%2B2%29%2B3y%3C8)
To find:
The point lies in the solution set of the given inequality.
Solution:
We have,
![\dfrac{1}{2}(x+2)+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28x%2B2%29%2B3y%3C8)
It can be written as:
![\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%28x%29%2B%5Cdfrac%7B1%7D%7B2%7D%282%29%2B3y%3C8)
![\dfrac{1}{2}x+1+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dx%2B1%2B3y%3C8)
![\dfrac{1}{2}x+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dx%2B3y%3C8-1)
![\dfrac{1}{2}x+3y](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dx%2B3y%3C7)
All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).
![\dfrac{1}{2}(0)+3(0)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%280%29%2B3%280%29%3C7)
![0](https://tex.z-dn.net/?f=0%3C7)
This statement is true. It means (0,0) is in the solution set.
For example (0,3).
![\dfrac{1}{2}(0)+3(3)](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%280%29%2B3%283%29%3C7)
![9](https://tex.z-dn.net/?f=9%3C7)
This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality
is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
Step-by-step explanation:
Hey, there!!
C = {6,8}
n(C) means cardinality of set.
We define cardinality of set as the no. of elements present in set.
It contains 2 no. of elements.
so, its cardinality is n(C) is 2.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>