Algebra 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 (>, <, ≥, ≤).

Front

What does the shaded region in a graph of a linear inequality represent?

Back

The shaded region represents all the possible solutions to the inequality.

Front

What does a dotted line indicate in the graph of a linear inequality?

Back

A dotted line indicates that points on the line are not included in the solution set.

Front

What does a solid line indicate in the graph of a linear inequality?

Back

A solid line indicates that points on the line are included in the solution set.

Front

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

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between '>' and '≥' in inequalities?

Back

'>' means the value is greater than, excluding the boundary, while '≥' means the value is greater than or equal to, including the boundary.

Front

What is the solution set of a system of linear inequalities?

Back

The solution set is the region where the shaded areas of all inequalities overlap.

Front

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

Back

Graph the line y = 2x + 3 with a dotted line and shade below the line.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.

Front

What is a system of linear inequalities?

Back

A system of linear inequalities consists of two or more inequalities that share the same variables.