Graphing Inequalities (two-variables)

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What is an inequality in two variables?

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An inequality in two variables is a mathematical statement that compares two expressions using inequality symbols (like <, >, ≤, or ≥) and involves two variables, typically x and y.

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What does the symbol '≤' represent in an inequality?

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The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

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What does the symbol '≥' represent in an inequality?

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The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

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

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How do you determine which side of the line to shade when graphing an inequality?

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To determine which side to shade, pick a test point not on the line (commonly (0,0)). Substitute the coordinates into the inequality. If the inequality holds true, shade the side containing the test point.

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How can you convert an inequality into slope-intercept form?

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