Summary
The video provides a detailed walkthrough on solving and graphing systems of linear inequalities. It covers the steps for graphing four specific inequalities in slope-intercept form. Viewers learn how to identify slope, y-intercept, draw lines, and shade the correct regions based on the inequality sign. The video demonstrates converting inequalities to slope-intercept form for better graphing accuracy. Overall, this tutorial offers a comprehensive guide for visually representing solutions to linear inequalities.
Introduction to Solving and Graphing Systems of Linear Inequalities
Explanation of how to solve and graph systems of linear inequalities using examples of two linear inequalities in slope-intercept form.
Graphing the First Inequality
Step by step guide on graphing the first linear inequality, y >= (2/3)x, including determining slope, y-intercept, drawing the line, and shading the correct region.
Graphing the Second Inequality
Detailed process of graphing the second linear inequality, y < -x - 4, involving finding slope, y-intercept, drawing the dashed line, and shading the appropriate region.
Graphing the Third Inequality
Graphing the third linear inequality, x > -2, by converting to slope-intercept form, drawing a vertical line, and shading the region to the right of the line.
Graphing the Fourth Inequality
Guidance on graphing the fourth linear inequality, y <= -5x + 6, converting to slope-intercept form, flipping the inequality sign, drawing the line, and shading the correct region.
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