Graphing Inequality

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does the symbol '≤' represent in inequalities?

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'≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

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What does the symbol '≥' represent in inequalities?

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'≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

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The solution set includes all values of x that are greater than or equal to -3, represented on a number line with a closed dot at -3 and shading to the right.

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It represents all points above the horizontal line y = 1, not including the line itself.

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How do you determine the correct inequality from a graph?

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Identify the boundary line and whether it is solid or dashed. Then, determine which side of the line is shaded to find the correct inequality.

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What is the difference between a solid line and a dashed line in graphing inequalities?

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A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

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How do you write the inequality for a graph that shows x-values greater than or equal to -3?

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