Linear Inequalities Review

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 '≥' mean in a linear inequality?

Back

'≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to the specified number.

Front

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

Back

'≤' means 'less than or equal to', indicating that the value can be either less than or equal to the specified number.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid line (for ≥ or ≤) or dashed line (for > or <). 2. Shade the region that satisfies the inequality.

Front

What is the solution set of a linear inequality?

Back

The solution set is the set of all points (x, y) that satisfy the inequality.

Front

How can you determine if a point is in the solution set of a linear inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution set.

Front

What is the difference between '>' and '≥' in linear inequalities?

Back

'>' means the value is strictly greater than, while '≥' includes the value itself as part of the solution.

Front

What is the difference between '<' and '≤' in linear inequalities?

Back

'<'' means the value is strictly less than, while '≤' includes the value itself as part of the solution.

Front

How do you write the inequality for a graph that has a solid line at y = 2?

Back

The inequality is y ≥ 2, indicating that y can be equal to 2 or greater.

Front

How do you write the inequality for a graph that has a dashed line at y = -3?

Back

The inequality is y < -3, indicating that y must be less than -3.