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For the red line, we have:
gradient (
) = 1/3
y-intercept = 3
Equation of straight line is given by
, where is the gradient and 
is where the line intercept the y-axis
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
= 3
y-intercept = -2
, rearranging gives
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
gradient (
y-intercept = 3
Equation of straight line is given by
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
y-intercept = -2
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>