which system of linear inequalities is represented by the graph?\no y≥x - 2 and y≤x + 1\no y<x - 2 and y>x +…

which system of linear inequalities is represented by the graph?\no y≥x - 2 and y≤x + 1\no y<x - 2 and y>x + 1\no y≤x - 2 and y≥x + 1\no y>x - 2 and y<x + 1

which system of linear inequalities is represented by the graph?\no y≥x - 2 and y≤x + 1\no y<x - 2 and y>x + 1\no y≤x - 2 and y≥x + 1\no y>x - 2 and y<x + 1

Answer

Explanation:

Step1: Identify the boundary lines

The lines are ( y = x - 2 ) and ( y = x + 1 ), both with slope 1.

Step2: Determine inequality directions

For ( y = x - 2 ), the shaded area above the solid line means ( y \geq x - 2 ).
For ( y = x + 1 ), the shaded area below the solid line means ( y \leq x + 1 ).

Answer:

A. ( y \geq x - 2 ) and ( y \leq x + 1 )