Given:
The graph of an inequality.
To find:
The inequality for the given graph.
Solution:
From the given graph it is clear that the boundary line passes through the points (6,0) and (0,-4). So, the equation of the line is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
![y-0=\dfrac{-4-0}{0-6}(x-6)](https://tex.z-dn.net/?f=y-0%3D%5Cdfrac%7B-4-0%7D%7B0-6%7D%28x-6%29)
![y=\dfrac{-4}{-6}(x-6)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B-4%7D%7B-6%7D%28x-6%29)
![y=\dfrac{2}{3}(x-6)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B2%7D%7B3%7D%28x-6%29)
![y=\dfrac{2}{3}x-4](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B2%7D%7B3%7Dx-4)
The area under the boundary line is shaded and boundary line is a dotted line it means the points on the line are not included in the solution set. So, the inequality sing must be <.
![y](https://tex.z-dn.net/?f=y%3C%5Cdfrac%7B2%7D%7B3%7Dx-4)
Therefore, the required inequality for the given graph is
.
The answer would be 21.98
He should expand the 1/4 on the barker (x+12) then he will have 1/4x+3 = 2 then he should subtract the 3 from the 2 meaning he will be left with 1/4x = -1 and then he should multiply the left hand side and the right hand side with 4 in order to get rid from the 1/4 so the answer is x = -4
The answer is
B. 2, 8, 5, 3
Answer:
1.94 x
, 1.25 x
, 6 x
, 8.1 x ![10^{4}](https://tex.z-dn.net/?f=10%5E%7B4%7D)
Step-by-step explanation
the highest negative power is the least and then the greatest is the highest positive power. so
is the least and
is the greatest.