The graph of linear inequality is x - 2y ≥ -12 option 4 .
What is meant by linear inequality?
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
What are the rules for shading the graph of inequality?
Shading the graph of inequality rules :
If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
According to the question
The graph of linear inequality :
x - 2y ≥ -12
for plotting the graph we have to obtain points from inequality
For that we will consider inequality as equation
x - 2y = -12
x y
0 6
-12 0
Now ,
x - 2y ≥ -12
-2y ≥ -12 - x
Taking -1 common both side
after taking common sign will also be change
2y ≤ 12 + x
Now as per rules of shading the graph of inequality :
If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line.
We will shade below the line but as in inequality
Hence, the graph of linear inequality is option 4 .
To know more about linear inequality and rules for shading the graph of inequality here:
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