Flashcardizz: 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 (>, <, ≥, ≤). It represents a region of the coordinate plane.

Front

What does the symbol '>' indicate in an inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<' indicate in an inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

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

Back

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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Back

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Back

Front

How do you determine if a line should be solid or dashed when graphing an inequality?

Back

Check the inequality symbol: use a solid line for ≥ or ≤, and a dashed line for > or <.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all points (x, y) that satisfy the inequality.

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Back

The y-intercept is the value of y when x = 0, which is b in the equation.

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Back

The slope is -rac{1}{4}, indicating that for every 4 units you move right, the line goes down 1 unit.