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Graph Linear Inequalities 2Graph Linear Inequalities 2
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Question 1 of 7
1. Question
Graph `x gt 5`
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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=5`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``x` `>` `5` `0` `>` `5` 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.`gt` means we must use a dashed line when graphing `x gt 5`
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Question 2 of 7
2. Question
Graph `y lt 3`
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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=3`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``y` `<` `5` `0` `<` `5` 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.`lt` means we must use a dashed line when graphing `y lt 3`
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Question 3 of 7
3. Question
Graph `x ge 2`
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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=2`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``x` `ge` `2` `0` `ge` `2` 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.`ge` means we must use a solid line when graphing `x ge 2`
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Question 4 of 7
4. Question
Graph `x ge 4`
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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=4`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``x` `ge` `4` `0` `ge` `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.`ge` means we must use a solid line when graphing `x ge 4`
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Question 5 of 7
5. Question
Graph `y ge -3`
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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=-3`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``y` `ge` `-3` `0` `ge` `-3` 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.`ge` means we must use a solid line when graphing `y ge -3`
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Question 6 of 7
6. Question
Graph `y gt 2x-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 `y=2x-1`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``y` `gt` `2x-1` `0` `gt` `2 color(darkviolet)((0))-1` Plug in `0` as `x` and `y` `0` `gt` `-1` Simplify The inequality is true, so we will shade the side of the line which includes the origin.Now we can graph the inequality.`gt` means we must use a dashed line when graphing `y gt 2x-1`
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Question 7 of 7
7. Question
Graph `y gt 3x+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 `y=3x+1`
Use a test point to see which side of the line is to be shaded. We can try the origin, `(color(darkviolet)(0),0)``y` `gt` `3x+1` `0` `gt` `3 color(darkviolet)((0))+1` Plug in `0` as `x` and `y` `0` `gt` `1` Simplify The inequality is false, so we will shade the side of the line which does not include the origin.Now we can graph the inequality.`gt` means we must use a dashed line when graphing `y gt 3x+1`
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