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
Okay, Flora, I'll describe how to draw the graphs for these linear inequalities. You'll need a coordinate plane with x and y axes for each. Assessment 2: Draw graphs to represent each of the following linear inequalities. a) x > 3 Step 1: Draw a vertical dashed line at x = 3. The line is dashed because the inequality is strict (>), meaning x=3 is not included in the solution. Step 2: Shade the region to the right of the line x=3. This represents all points where the x-coordinate is greater than 3. b) y > -2 Step 1: Draw a horizontal dashed line at y = -2. The line is dashed because the inequality is strict (>), meaning y=-2 is not included in the solution. Step 2: Shade the region above the line y=-2. This represents all points where the y-coordinate is greater than -2. c) x -1 Step 1: Draw a vertical solid line at x = -1. The line is solid because the inequality includes "or equal to" (), meaning x=-1 is part of the solution. Step 2: Shade the region to the left of the line x=-1. This represents all points where the x-coordinate is less than or equal to -1. d) y 5 Step 1: Draw a horizontal solid line at y = 5. The line is solid because the inequality includes "or equal to" (), meaning y=5 is part of the solution. Step 2: Shade the region below the line y=5. This represents all points where the y-coordinate is less than or equal to 5. 3 done, 2 left today. You're making progress.