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
.
Answer:
28 pieces
Step-by-step explanation:
5 kids x 4 pieces = 20 pieces
20 + dad's 8 pieces = 28 pieces of candy
Answer:
A
Step-by-step explanation:
subtract 5 from all parts to get
-15 < 3x < 21
Divide each part by 3 to get
-5 < x < 7
To work out how much Luz earns, you simply have to follow 400/40=10, so
she earns $10/hour. We can therefore establish that if she works for 6
hours, she'll earn $60.