Which system of linear inequalities is represented

Questions: Which system of linear inequalities is represented by the graph? y ≥ x-2 and y ≤ x+1 y < x-2 and y > x+1 y ≤ x-2 and y ≥ x+1 y > x-2 and y < x+1

Transcript text: Which system of linear inequalities is represented by th graph? $y \geq x-2$ and $y \leq x+1$ $yx+1$ $y \leq x-2$ and $y \geq x+1$ $y>x-2$ and $y

Solution

Solution Steps

Step 1: Identify the lines on the graph

The graph shows two lines:

The line with a positive slope passing through points like (0, -2) and (2, 0).
The line with a positive slope passing through points like (0, 1) and (1, 2).

Step 2: Determine the equations of the lines

The first line has a slope of 1 and a y-intercept of -2, so its equation is $ y = x - 2 $.
The second line has a slope of 1 and a y-intercept of 1, so its equation is $ y = x + 1 $.

Step 3: Identify the shaded regions