what inequality is shown by the graph?\nthe inequality is \n(type an inequality. use integers or fractions…

what inequality is shown by the graph?\nthe inequality is \n(type an inequality. use integers or fractions for any numbers in the inequality.)

what inequality is shown by the graph?\nthe inequality is \n(type an inequality. use integers or fractions for any numbers in the inequality.)

Answer

Explanation:

Step1: Find the equation of the boundary line

The boundary line passes through points ((- 10,0)) and ((0,10)). The slope (m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{10 - 0}{0-(-10)} = 1). Using the slope - intercept form (y=mx + b), with (m = 1) and (b = 10), the equation of the line is (y=x + 10). Since the line is dashed, the inequality is either (y>x + 10) or (y<x + 10).

Step2: Test a point in the shaded region

Let's test the point ((0,0)). Substitute (x = 0) and (y = 0) into (y) and (x + 10). We get (0) and (0 + 10=10). Since (0<10) and ((0,0)) is in the shaded region, the inequality is (y<x + 10).

Answer:

(y<x + 10)