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\nHow do you graph the solution to an inequality\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...\n👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequality is 'excluded' (when less than or greater than is used) and a solid line is used when the inequality is 'included' (when greater than or equal to OR less than or equal to is used). To graph a linear inequality, we first determine the slope and the y-intercept or the x-intercept and the y-intercept depending on the form in which the inequality is given. When given a linear inequality in slope intercept form, we first plot the y-intercept and using the slope, we can determine the rise and the run of the required line and then be able to plot the next point from the y-intercept. We then draw a straight line passing through the two plotted points. Alternatively, when given a linear inequality in standard form, we can determine the x-intercept and the y-intercept of the standard form linear inequality by subtituting y = 0, then solve for x and substituting x = 0, then solve for y respectively. Recall that the x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0. After obtaining the values of the x-intercept and the y-intercept, we plot the points on the coordinate plane and then draw a line passing through the points. After the line representing the linear equation form of the linear inequality is drawn, we select a point either side of the line to determine which side of the line is true for the given inequality and then shade the side that satisfies the inequality.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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5:44
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2014
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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compound inequalities, positive numbers, numbers, solutions, inequalities, shading, linear inequalities, graphing inequalities
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how to solve a inequalities, how to graph one-variable inequalities, how to solve, how to graph, solution, equal to, how to, solve, graph, shade, how do you graph the solution to an inequality, algebra, inequality, math, linear inequality, point, how to solve a system of inequalities by graphing, geometry, solution to an inequality, mathematics, free math videos, brian mclogan, how to solve a rational inequalities, number line, inequality symbol, open point, line, open, points, closed, true, negative, ladies, gentlemen, part, gonna, identify, couple, important, understand, loud, kind, equal, greater
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Best For: Explaining a topic
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