6.4 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 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 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 less than or equal to the value on the right.

Front

How do you determine if a line is solid or dashed in a graph of a linear inequality?

Back

A solid line is used if the inequality includes 'equal to' (≥ or ≤), while a dashed line is used if it does not (> or <).

Front

When graphing the inequality y ≥ -3/4 x + 3, where do you shade?

Back

You shade above the line because the inequality indicates 'greater than or equal to'.

Front

When graphing the inequality y < -3/4 x + 3, where do you shade?

Back

You shade below the line because the inequality indicates 'less than'.

Front

What is the graphical representation of the inequality y > 3x + 7?

Back

The line is dashed, and you shade above the line.

Front

What is the graphical representation of the inequality y ≤ 3x + 7?

Back

The line is solid, and you shade below the line.