Graphing Linear Inequalities Review

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 (>, <, ≥, ≤).

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

What type of line is used to graph the inequality y > 2?

Back

A dashed line is used to graph y > 2, indicating that points on the line are not included in the solution.

Front

What type of line is used to graph the inequality y ≤ -3x + 4?

Back

A solid line is used to graph y ≤ -3x + 4, indicating that points on the line are included in the solution.

Front

How do you determine which side of the line to shade for the inequality y < 2x + 1?

Back

To determine which side to shade, pick a test point (like (0,0)). If it satisfies the inequality, shade the side containing that point.

Front

What is the solution set of the inequality y ≥ 3?

Back

The solution set includes all points on and above the horizontal line y = 3.

Front

How do you graph the inequality y < -1/2x + 3?

Back

Graph the line y = -1/2x + 3 with a dashed line and shade below the line.

Front

What does it mean if a point (x, y) is a solution to the inequality y ≥ 4x - 5?

Back

It means that when you substitute x into the inequality, the resulting y value must be greater than or equal to the calculated value.

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 included (> or <).

Front

How can you tell if an ordered pair is a solution to an inequality?

Back

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