Linear Inequalities and Graphing Lines

Front

What is a linear inequality in two variables?

Back

Is an inequality that is in the same form as a linear equation in two variables but with an inequality symbol instead of an equal sign.

Front

What does the symbol '<' represent in graphing?

Back

It represents a dashed line, indicating that points on the line are not included in the solution.

Front

What does the symbol '>' indicate in terms of shading on a graph?

Back

You shade above the line.

Front

What does the symbol '<=' indicate in terms of shading on a graph?

Back

You shade below the line.

Front

What is the solution set of a linear inequality?

Back

The set of all ordered pairs that satisfy the inequality.

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 as a dashed line and shade below it.

Front

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

Back

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

Front

What ordered pair is part of the solution for the inequality y > -x + 1?

Back

Any point above the line y = -x + 1, such as (0,2).

Front

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

Back

Substitute the coordinates of the point into the inequality and check if the statement is true.

Front

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

Back

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