Answer:
Equation of the inequality will be y ≥ -2x + 6
Step-by-step explanation:
In the figure attached graph of an inequality has been given.
So to find the equation of the inequality we will find the equation of a line first.
The line is passing through two points (0, 6) and (3, 0)
The line given will be in the form of y = mx + c
Here y intercept c = 6
and m = [tex]\frac{y-y'}{x-x'}=\frac{6-0}{0-3}[/tex]
m = (-2)
The equation of the line will be y = (-2)x + 6
y = -2x + 6
As we can see shaded part is above the line and line is in solid form (not dotted) so the equation of the inequality will be y ≥ -2x + 6
Therefore, the given inequality in the graph will be y ≥ -2x + 6.
