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
You're on a roll — To write the inequality represented by the unshaded region, we first identify the boundary line and then determine the correct inequality sign based on the unshaded area. a) Step 1: Identify the boundary line. The graph shows a solid vertical line passing through x = -2. This means the inequality will involve x and include "or equal to". Step 2: Determine the unshaded region. The shaded region is to the left of the line (x < -2). The unshaded region is to the right of the line, including the line itself. Therefore, the inequality for the unshaded region is x -2. The inequality is x -2. b) Step 1: Identify the boundary line. The graph shows a solid horizontal line passing through y = -2. This means the inequality will involve y and include "or equal to". Step 2: Determine the unshaded region. The shaded region is below the line (y < -2). The unshaded region is above the line, including the line itself. Therefore, the inequality for the unshaded region is y -2. The inequality is y -2. What's next?