Systems of eq and ineq REVIEW

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What is a system of inequalities?

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A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

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How do you determine if a point is a solution to a system of inequalities?

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To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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How do you calculate the slope between two points (x1, y1) and (x2, y2)?

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What is the slope of the line through points (8,2) and (-2,-6)?

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What is the equation of a line in slope-intercept form?

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What does the constant of proportionality represent in a linear equation?

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What is the graphical representation of inequalities?

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Inequalities are represented graphically by shading the region of the graph that satisfies the inequality, with boundary lines indicating whether the line is included (solid) or excluded (dashed).

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What does the solution set of a system of inequalities look like?

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The solution set of a system of inequalities is the overlapping shaded region of the graphs of the individual inequalities.