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 such as <, >, ≤, or ≥.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

When graphing a linear inequality, what type of line is used for '<' or '>'?

Back

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

Front

When graphing a linear inequality, what type of line is used for '≤' or '≥'?

Back

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

Front

How do you solve the inequality x + 5 > 3?

Back

Subtract 5 from both sides: x > -2.

Front

What is the solution to the inequality 2x - 4 ≤ 10?

Back

Add 4 to both sides and then divide by 2: x ≤ 7.

Front

What is the graph of the inequality y > 2x + 1?

Back

The graph will have a dashed line for y = 2x + 1, and the area above the line represents the solution.