Draw graphs to represent each of the following linear inequalities: a) x 3 b) y −2 c) x

Question

Draw graphs to represent each of the following linear inequalities: a) x > 3 b) y > −2 c) x <= −1 d) y <= 5

ScanSolve AI Tutor · Accepted 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.

Draw graphs to represent each of the following linear inequalities: a) x > 3 b) y > -2 c) x <= -1 d) y <= 5

Step-by-step solution

Part a· 2 steps

Draw a vertical dashed line at $x = 3$ .

Shade the region to the right of the line $x=3$ .

Part b· 2 steps

Draw a horizontal dashed line at $y = -2$ .

Shade the region above the line $y=-2$ .

Part c· 2 steps

Draw a vertical solid line at $x = -1$ .

Shade the region to the left of the line $x=-1$ .

Part d· 2 steps

Draw a horizontal solid line at $y = 5$ .

Shade the region below the line $y=5$ .

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More Mathematics Questions

Draw graphs to represent each of the following linear inequalities: a) x > 3 b) y > -2 c) x <= -1 d) y <= 5

Step-by-step solution

Part a· 2 steps

Draw a vertical dashed line at x=3x = 3x=3.

Shade the region to the right of the line x=3x=3x=3.

Part b· 2 steps

Draw a horizontal dashed line at y=−2y = -2y=−2.

Shade the region above the line y=−2y=-2y=−2.