I think the answer is -44n+2
Answer:
Step-by-step explanation:
<u>Given system:</u>
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
Answer:
Option c
or ![y \leq 21](https://tex.z-dn.net/?f=y%20%5Cleq%2021)
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)
![y \leq 9 + 12\\y\leq21](https://tex.z-dn.net/?f=y%20%5Cleq%209%20%2B%2012%5C%5Cy%5Cleq21)
We solve the case (ii)
![-y +9 \leq 12\\-y \leq 12-9\\y \geq -3](https://tex.z-dn.net/?f=-y%20%2B9%20%5Cleq%2012%5C%5C-y%20%5Cleq%2012-9%5C%5Cy%20%5Cgeq%20-3)
Then the solution is:
or ![y \leq 21](https://tex.z-dn.net/?f=y%20%5Cleq%2021)