Practice

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that the points on the line are not included (> or <).

Front

What does the inequality y > 2x - 5 represent graphically?

Back

It represents the region above the line y = 2x - 5, not including the line itself.

Front

How do you determine if a point is part of the solution set for an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What type of line is represented by the inequality y ≥ -2x - 2?

Back

A solid line, because the inequality includes the equal sign (≥).

Front

What does the inequality y > 3x + 7 indicate about the line y = 3x + 7?

Back

It indicates that the region above the line is part of the solution set, and the line itself is not included (dashed line).

Front

What is the solution set of the inequality y < 4?

Back

The solution set includes all points below the horizontal line y = 4, not including the line itself.

Front

How can you graph the inequality y ≤ 2x + 3?

Back

Graph the line y = 2x + 3 as a solid line and shade the region below the line.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality, often represented by contradictory statements.

Front

What is the significance of the slope in the equation of a line?

Back

The slope indicates the steepness of the line and the direction it goes (positive slope rises, negative slope falls).

Front

How do you convert an inequality into slope-intercept form?

Back

Rearrange the inequality to isolate y on one side, resulting in the form y = mx + b.