The equation of the graph of inequality is y > 4x + 2.
What is graph of inequality?
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
Graph show the inequality
As graph is having a doted line
as we know
The boundary line is dashed for > and < in graph of an inequality
i.e
inequality will have either > or <
Now ,
As we know according to the graph of an inequality
If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
As area is shaded above the line
i.e it will have
>sign in inequality
As per options
only option B is valid which have > sign in inequality .
Therefore,
the equation of the graph of inequality is y > 4x + 2.
Hence, the equation of the graph of inequality is y > 4x + 2.
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