The inequalities to describe the shaded area on the grid are
[tex]\rm \bold {x\geq -2}\\\bold{y<3}\\\\bold{y \geq\ x+3}[/tex]
The shaded area of the grid is surrounded by three lines the equations of all three lines are given as below in form of inequalities.
For a solid line the " equality" is included but for a dashed line " equality" is not included.
x ≥ -2
y < 3
The equation of third line can be found out by writing standard form of straight line
[tex]\rm y = mx +c \\m = Slope \;of\; the\; line\\c = y\; axis \; intercept \; value[/tex]
As we can observe from the figure that the line passes through (0,3) and (-3,0) and hence we write the equation of line as
[tex]\rm y = (3-0) /(0-(-3)) ( x+3) \\y = 1\times x + 3\\y = x+3 \\So \; the\; inequality\; can \; be\; written\; as\\y\geq x+3[/tex]
Since the area above the line y = x+3 is of our concern hence greater than equal to sign is used.
So the inequality for third line is
[tex]\rm\bold{ {y\geq x+3}}[/tex]
The inequalities to describe the shaded area on the grid
[tex]\rm \bold {x\geq -2}\\\bold{y<3}\\\\bold{y \geq\ x+3}[/tex]
For more information please refer to the link below
https://brainly.com/question/2502769
