which linear inequality is graphed with ( y > -x - 2 ) to create the given solution set?\n( \bigcirc y > x +…

which linear inequality is graphed with ( y > -x - 2 ) to create the given solution set?\n( \bigcirc y > x + 1 )\n( \bigcirc y < x - 1 )\n( \bigcirc y > x - 1 )\n( \bigcirc y < x + 1 )

which linear inequality is graphed with ( y > -x - 2 ) to create the given solution set?\n( \bigcirc y > x + 1 )\n( \bigcirc y < x - 1 )\n( \bigcirc y > x - 1 )\n( \bigcirc y < x + 1 )

Answer

Explanation:

Step1: Determine the boundary line equation

The boundary line in the graph (excluding the (y > -x - 2) line) has a (y -)intercept (b = 1) and a slope (m = 1). The equation of the boundary line is (y=x + 1) (using the slope - intercept form (y=mx + b)).

Step2: Analyze the inequality direction

Since the shaded region is below the line (y=x + 1), and the line (y=x + 1) is a dashed line (indicating non - inclusion in the solution set), the inequality is (y<x + 1).

Answer:

(y<x + 1) (the fourth option)