Linear Inequalities Flashcard

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 such as <, >, ≤, or ≥.

Front

What does the symbol '>' indicate in a linear inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<' indicate in a linear inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

What does the symbol '≥' indicate in a linear inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

What does the symbol '≤' indicate in a linear inequality?

Back

The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

Front

What type of line is used for inequalities with '<' or '>'?

Back

A dashed or dotted line is used for inequalities with '<' or '>' to indicate that the points on the line are not included in the solution set.

Front

What type of line is used for inequalities with '≤' or '≥'?

Back

A solid line is used for inequalities with '≤' or '≥' to indicate that the points on the line are included in the solution set.

Front

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

Back

Graph the line y = 2x + 3 as a dashed line and shade below the line to represent all the points where y is less than 2x + 3.

Front

How do you graph the inequality y ≥ -5x - 3?

Back

Graph the line y = -5x - 3 as a solid line and shade above the line to represent all the points where y is greater than or equal to -5x - 3.

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.