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 (e.g., <, >, ≤, ≥).

Front

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

Back

The symbol '≥' indicates that the value on the left is greater than or equal to 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 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 if the inequality includes 'equal to' (≥ or ≤), while a dashed line is used if it does not (>, <).

Front

What does it mean to shade above a line in a graph?

Back

Shading above a line indicates that the solutions to the inequality are all the points above that line.

Front

What does it mean to shade below a line in a graph?

Back

Shading below a line indicates that the solutions to the inequality are all the points below that line.

Front

If the inequality is y > mx + b, where should you shade?

Back

You should shade above the line represented by y = mx + b.

Front

If the inequality is y < mx + b, where should you shade?

Back

You should shade below the line represented by y = mx + b.

Front

How can you check if a point is a solution to an inequality?

Back

Substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.

Front

What is the graph of the inequality x ≥ 2?

Back

The graph is a vertical line at x = 2, with shading to the right (including the line).