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Writing the Inequality from Its Graph
To determine the inequality represented by a graph when its boundary line is known, such as , observe the line style and test a point in the shaded region. If the boundary line is graphed as a solid line, points on the line are included in the solution set, meaning the inequality must use either or . To decide which symbol to use, select a test point from the shaded solution region. If the top-left half is shaded and contains the origin , substitute and into the expression : . Since the chosen test point must produce a true statement, compare to the right-side value . Because is a true statement, the shaded region corresponds to the 'less than' case. Combining this with the solid line observation yields the final inequality: .
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Ch.3 Graphs and Functions - Intermediate Algebra @ OpenStax
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Writing the Inequality from Its Graph
Writing the Inequality from Its Graph