Graph linear inequalities

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What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤).

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What does the symbol '≥' mean in a linear inequality?

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

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What does the symbol '≤' mean in a linear inequality?

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

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How do you graph a linear inequality?

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1. Graph the corresponding linear equation as a dashed or solid line. 2. Use shading to indicate the solution region: above the line for 'greater than' and below for 'less than'.

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

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How do you determine the correct graph for a given inequality?

Back

Identify the type of line (solid or dashed) based on the inequality symbol, then shade the appropriate region based on whether the inequality is 'greater than' or 'less than'.

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What is the significance of the y-intercept in a linear inequality?

Back

The y-intercept is the point where the line crosses the y-axis, which helps in graphing the inequality.