Two- Variable Inequalities

An inequality that involves two variables, typically expressed in the form of $$ax + by < c$$ , $$ax + by > c$$ , $$ax + by ≤ c$$ , or $$ax + by ≥ c$$ .

It indicates that the region above the line is included in the solution set.

It indicates that the region below the line is included in the solution set.

Graph the line $$y = |x - 3| + 2$$ , then shade the region above the line.

It represents the minimum amount Brayden needs to earn by shoveling driveways, where x is the number of small driveways and y is the number of large driveways.

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

The solution set includes all points (x, y) that lie on or below the line $$y = 2x + 3$$ .

It indicates that all points above the line satisfy the inequality.

It indicates that all points below the line satisfy the inequality.

The boundary line represents the points where the inequality changes from true to false.