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 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 an 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

What does it mean to shade above a line in a graph of an inequality?

Back

Shading above a line indicates that the solutions to the inequality are all the points above that line.

Front

What does it mean to shade below a line in a graph of an inequality?

Back

Shading below a line indicates that the solutions to the inequality are all the points below that line.

Front

How do you graph the inequality y > 4x - 10?

Back

Graph the line y = 4x - 10 as a dashed line and shade above the line.

Front

How do you graph the inequality y ≤ -3/4x + 3?

Back

Graph the line y = -3/4x + 3 as a solid line and shade below the line.

Front

What is the solution set of the inequality y ≥ 2/5x + 1?

Back

The solution set includes all points on or above the line y = 2/5x + 1.

Front

What is the difference between 'y < mx + b' and 'y ≤ mx + b'?

Back

'y < mx + b' uses a dashed line and shades below, while 'y ≤ mx + b' uses a solid line and shades below.