Inequalities help us to compare two unequal expressions. The inequalities that represent this graph are y<8/10x and y>-x. The correct option is C.
The complete question is:
The graph below shows the solution to which system of inequalities?
A.) y>x , y ≥ (8/10)x
B.) y>-x, y ≤ (8/10)x
C.) y>-x, y < (8/10)x
D.) y>x, y > (8/10)x
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
To find the inequality, we need to find the equation of the dashed line and then substitute the inequality as per the requirement. The dashed line is used instead of a solid line to show greater than or less than.
The inequality for the first graph can be written as,

The inequality for the second graph will be,
y>-x
Hence, the inequalities that represent this graph are y<8/10x and y>-x. Thus, the correct option is C.
Learn more about Inequality:
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I believe the answer is C) Infinitely many solutions. I'm not the greatest at these types of questions, so I apologize, I could be wrong.
Hopefully that helped! :)
0 because she deposited the money back into her bank account
Answer:
-3 = x
Step-by-step explanation:
4 (2x + 3) = 4x + 24 + 6x – 6
8x + 12 = 10x + 18
12 = 2x + 18
-6 = 2x
-3 = x
Answer:
y ≤ |x – 5| + 5
Step-by-step explanation:
The graph below has the vertex (5,5). This means that in the equation the function has been shifted up by addition of 5 and shifted right by subtraction of 5. This means y ≤ |x – 5| + 5 or y ≥ |x – 5| + 5 are the only options.
To determine, test a point from the shaded region like (0,0).
y ≤ |x – 5| + 5 is the solution.