Graphing Linear Inequalities

Front

What does a solid line indicate in graphing linear inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning it has 'or equal to' in the symbol.

Front

What does a dashed line indicate in graphing linear inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning it does not have 'or equal to' in the symbol.

Front

How do you determine if the shading is above or below the line in a graph?

Back

If the inequality symbol is 'greater than' (>) or 'greater than or equal to' (≥), shade above the line. If it is 'less than' (<) or 'less than or equal to' (≤), shade below the line.

Front

What is the inequality represented by the graph with a solid line and shaded above?

Back

The inequality is of the form y ≥ mx + b, where m is the slope and b is the y-intercept.

Front

How do you write the inequality for a line with a slope of 3 and a y-intercept of -2?

Back

The inequality can be written as y > 3x - 2 or y ≥ 3x - 2, depending on whether the line is dashed or solid.

Front

What is the meaning of the inequality symbol '≤'?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be equal to the boundary line.

Front

What is the meaning of the inequality symbol '≥'?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be equal to the boundary line.

Front

How do you graph the inequality y < 2x + 1?

Back

Graph the line y = 2x + 1 with a dashed line and shade below the line.

Front

What does the inequality y > -rac{1}{2}x + 3 represent graphically?

Back

It represents a dashed line with a slope of -rac{1}{2} and a y-intercept of 3, shaded above the line.

Front

How can you tell which inequality corresponds to a given graph?

Back

Look at the slope and y-intercept of the line, the type of line (solid or dashed), and the direction of shading.