which system of linear inequalities is represented by the graph?\n$y\\geq x - 2$ and $y\\leq x + 1$\n$y<x…

which system of linear inequalities is represented by the graph?\n$y\\geq x - 2$ and $y\\leq x + 1$\n$y<x - 2$ and $y>x + 1$\n$y\\leq x - 2$ and $y\\geq x + 1$\n$y>x - 2$ and $y<x + 1$

which system of linear inequalities is represented by the graph?\n$y\\geq x - 2$ and $y\\leq x + 1$\n$y<x - 2$ and $y>x + 1$\n$y\\leq x - 2$ and $y\\geq x + 1$\n$y>x - 2$ and $y<x + 1$

Answer

Answer:

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

Explanation:

Step 1: Identify the boundary lines

The two lines have slope 1, intercepts at ( (0, -2) ) and ( (0, 1) ), equations ( y = x - 2 ) and ( y = x + 1 ).

Step 2: Determine inequality directions

Shaded region is above ( y = x - 2 ) (solid line, includes equality) and below ( y = x + 1 ) (solid line, includes equality), matching ( y \geq x - 2 ) and ( y \leq x + 1 ).