Graph A represents the given inequality 3y−5x>−6. Option A is correct.
From the graphs, the graph is to choose which best describes the inequality 3y−5x>−6
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Given inequality,
3y−5x>−6.
Since the inequality contains only greater than sign, so options B and C will be omitted because both the graphs show boundary conditions that are wrong for the given inequality.
Now, graph A and D show now boundary condition and shaded portions
3y−5x>−6
Since the inequality is shown greater than -6 so the inequality will start from a negative y toward the positive y i.e.
3y−5x > −6
3y > 5x - 6
y > (5x - 6)/3
The above expression shows the value of y lies above the line y =5x/3-2 which implies graph A is correct.
Thus, Graph A represents the given inequality 3y−5x>−6. Option A is correct.
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