Graphing Linear Inequalities

Front

What is a linear inequality?

Back

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

Front

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

Back

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

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

Back

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

Front

How do you determine if a line is solid or dashed in graphing inequalities?

Back

A solid line is used when the inequality includes 'or equal to' (≥ or ≤), while a dashed line is used when it does not (> or <).

Front

What does it mean if a graph is shaded above the line?

Back

If a graph is shaded above the line, it indicates that the solutions to the inequality are greater than the line's equation.

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What does it mean if a graph is shaded below the line?

Back

If a graph is shaded below the line, it indicates that the solutions to the inequality are less than the line's equation.

Front

Back

You shade above the line because the inequality symbol is '≥', indicating that y values greater than or equal to the line are included.

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Back

Front

Back

The y-intercept of the line is 3.

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Back

It represents a line with a slope of -3/4, shaded below the line.