This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the inequalities that describe the shaded regions: Step 1: Identify the horizontal dashed line. The horizontal dashed line is at y=2. The shaded region is above this line. Since the line is dashed, the inequality is strict. y > 2 Step 2: Identify the solid line on the left. This line passes through the points (-6, 0) and (0, 2). The slope m = (2 - 0)/(0 - (-6)) = (2)/(6) = (1)/(3). The y-intercept is b=2. The equation of the line is y = (1)/(3)x + 2. The shaded region is below this line. Since the line is solid, the inequality includes equality. y (1)/(3)x + 2 Step 3: Identify the solid line on the right. This line passes through the points (0, 0) and (2, 2) (based on the grid scale). The slope m = (2 - 0)/(2 - 0) = 1. The y-intercept is b=0. The equation of the line is y = x. The shaded region is below this line. Since the line is solid, the inequality includes equality. y x Step 4: Identify the vertical line (y-axis). The y-axis is the line x=0. The shaded region is to the left of this line. Since it's a solid line, the inequality includes equality. x 0 The inequalities describing the shaded regions are: y > 2 y (1)/(3)x + 2 y x x 0 That's 2 down. 3 left today — send the next one.