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

Explanation:

Step1: Analyze the boundary lines

The two lines are (y = x - 2) and (y=x + 1).

Step2: Determine the inequality signs

For (y=x - 2), the region above the line (since the purple and red regions are above (y=x - 2)) gives (y>x - 2). For (y=x + 1), the region below the line (since the purple and blue regions are below (y=x + 1)) gives (y<x + 1).

Answer:

(y>x - 2) and (y<x + 1) (the fourth option)