Linear Inequalities & Systems of Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols (>, <, ≥, ≤).

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 a solid line represent in the graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set (used with ≥ or ≤).

Front

What does a dashed line represent in the graph of a linear inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set (used with > or <).

Front

How do you solve the inequality y - 4 > 12?

Back

Add 4 to both sides to get y > 16.

Front

Which of the following points is part of the solution set for the inequality y > 16? (0, 0), (5, 1), (20, 17)

Back

(20, 17) is part of the solution set.

Front

What is the solution set of the inequality 5 ≥ x?

Back

The solution set is all values of x that are less than or equal to 5.

Front

How can you check if a point is part of the solution set for an inequality?

Back

Substitute the point's coordinates into the inequality and see if the statement is true.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the overlapping region as the solution set.