Graph Linear Inequalities 1
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Question 1 of 8
1. Question
Graph x > 3- 1.
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Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line x=3Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0)x > 3 0 > 3 Plug in 0 as x The inequality is not true, so we will shade the side of the line which does not include the origin.Now we can graph the inequality.> means we must use a dashed line when graphing x > 3 -
Question 2 of 8
2. Question
Graph y ≤ 2-
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- 1x
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Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line y=2Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y ≤ 2 0 ≤ 2 Plug in 0 as y The inequality is true, so we will shade the side of the line which includes the origin.Now we can graph the inequality≤ means we must use a solid line when graphing y ≤ 2 -
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Question 3 of 8
3. Question
Graph x > 4-
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- 1x
- 0.75x
- 0.5x
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Chapters- Chapters
Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line x=4Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).x > 4 0 > 4 Plug in 0 as x The inequality is not true, so we will shade the side of the line which does not include the origin.Now we can graph the inequality.> means we must use a dashed line when graphing x > 4 -
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Question 4 of 8
4. Question
Graph y > 2x-3-
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- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
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Chapters- Chapters
Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line y=2x-3Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y > 2x-3 0 > 2(0)-3 Plug in 0 as x and y 0 > -3 Simplify The inequality is not true, so we will shade the side of the line which does not include the origin.Now we can graph the inequality.> means we must use a dashed line when graphing y > 2x-3 -
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Question 5 of 8
5. Question
Graph y ≤ -3x+2-
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- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
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Chapters- Chapters
Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line y=-3x+2Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y ≤ -3x+2 0 ≤ -3(0)+2 Plug in 0 as x and y 0 ≤ 2 Simplify The inequality is true, so we will shade the side of the line which includes the origin.Now we can graph the inequality≤ means we must use a solid line when graphing y ≤ -3x+2 -
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Question 6 of 8
6. Question
Graph 2x+3y > 6-
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Correct!
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- 1x
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Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line 2x+3y=6Write the equation in point-gradient form.2x+3y = 6 2x+3y-2x = 6-2x Subtract 2x from both sides 3y = -2x+6 Simplify y = -23x+2 Divide both sides by 3 You may now graph the line 2x+3y=6 with its gradient-intercept form.The slope of the line is -23 and the y-intercept is 2.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).2x+3y > 6 2(0)+3(0) > 6 Plug in 0 as x and y 0 > 6 Simplify The inequality is not true, so we will shade the side of the line which does not include the origin.Now we can graph the inequality.> means we must use a dashed line when graphing 2x+3y > 6 -
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Question 7 of 8
7. Question
Graph x+3y-3<0 and x-y+2 ≤ 0-
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Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
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- 1x
- 0.75x
- 0.5x
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Chapters- Chapters
Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line x+3y-3=0Write the equation in point-gradient form.x+3y-3 = 0 x+3y-3-x+3 = 0-x+3 Add -x+3 to both sides 3y = -x+3 Simplify y = -13x+1 Divide both sides by 3 You may now graph the line x+3y-3<0 with its gradient-intercept form.The slope of the line is -13 and the y-intercept is 1.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).x+3y-3 < 0 0+3(0)-3 < 0 Plug 0 as x and y -3 < 0 Simplify The inequality is true, so we will shade the side of the line which includes the origin.Graph the line x-y+2=0Write the equation in point-gradient form.x-y+2 = 0 x-y+2-x-2 = 0-x-2 Add -x-2 from both sides -y = -x-2 Simplify y = x+2 Divide both sides by -1 You may now graph the line x-y+2 ≤ 0 with its gradient-intercept form.The slope of the line is 1 and the y-intercept is 2.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).x-y+2 ≤ 0 0-0+2 ≤ 0 Plug in 0 as x and y 2 ≤ 0 Simplify The inequality is not true, so we will shade the side of the line which does not include the origin.Now we can graph the two inequalities.< means we must use a dashed line when graphing x+3y-3<0≤ means we must use a solid line when graphing x-y+2 ≤ 0 -
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Question 8 of 8
8. Question
Shade the region bounded by inequalities y≥12x, y≤2 and y<2x+4-
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Exceptional!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Chapters- Chapters
Remember the following notations when graphing inequalities.Symbol Solid / Dotted < Dotted Line > Dotted Line ≤ Solid Line ≥ Solid Line First, treat the inequality sign as an equals sign and plot the curve.Graph the line y=12xThe slope of the line is 12 and the y-intercept is 0.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y ≥ 12x 0 ≥ 12(0) Plug 0 as x and y 0 ≥ 0 Simplify The inequality is true, so we will shade the side of the line which includes the origin.≥ means we must use a solid line when graphing y≥12xGraph the line y=2.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y ≤ 2 0 ≤ 2 Plug 0 as y The inequality is true, so we will shade the side of the line which includes the origin.≤ means we must use a solid line when graphing y≤2Graph the line y=2x+4The slope of the line is 2 and the y-intercept is 4.Use a test point to see which side of the line is to be shaded. We can try the origin, (0,0).y < 2x+4 0 < 2(0)+4 Plug 0 as x and y 0 < 4 Simplify The inequality is true, so we will shade the side of the line which includes the origin.< means we must use a dashed line when graphing y<2x+4Now we can graph the three inequalities. -
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Quizzes
- Distance Between Two Points 1
- Distance Between Two Points 2
- Distance Between Two Points 3
- Midpoint of a Line 1
- Midpoint of a Line 2
- Midpoint of a Line 3
- Gradient of a Line 1
- Gradient of a Line 2
- Gradient Intercept Form: Graph an Equation 1
- Gradient Intercept Form: Graph an Equation 2
- Gradient Intercept Form: Write an Equation 1
- Determine if a Point Lies on a Line
- Graph Linear Inequalities 1
- Graph Linear Inequalities 2
- Convert Between General Form and Gradient Intercept Form 1
- Convert Between General Form and Gradient Intercept Form 2
- Point Gradient and Two Point Formula 1
- Point Gradient and Two Point Formula 2
- Parallel Lines 1
- Parallel Lines 2
- Perpendicular Lines 1
- Perpendicular Lines 2