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

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, then shade the region that satisfies the inequality.

Front

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

Back

'>' means that the value on the left is greater than the value on the right.

Front

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

Back

'<'' means that the value on the left is less than the value on the right.

Front

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

Back

'≥' means that the value on the left is greater than or equal to the value on the right.

Front

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

Back

'≤' means that the value on the left is less than or equal to the value on the right.

Front

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

Back

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

Front

How can you determine if a point is a solution to a linear inequality?

Back

To determine if a point is a solution, substitute the x and y values into the inequality. If the inequality holds true, the point is a solution.

Front

What is the solution set of a linear inequality?

Back

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

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.