Graphing Inequalities

Front

What is the main purpose of graphing inequalities?

Back

To visually represent the solutions of an inequality on a coordinate plane.

Front

What does a solid line indicate when graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set, used for ≤ and ≥.

Front

What does a dashed line indicate when graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set, used for < and >.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.

Front

What is the difference between 'y > mx + b' and 'y ≥ mx + b'?

Back

'y > mx + b' uses a dashed line, while 'y ≥ mx + b' uses a solid line.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means that the value on the left is greater than the value on the right.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means that the value on the left is less than or equal to the value on the right.

Front

How do you graph the inequality y < 3?

Back

Draw a horizontal dashed line at y = 3 and shade below the line.

Front

What is the solution set of the inequality x > -2?

Back

All real numbers greater than -2, not including -2 itself.

Front

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

Back

A solid line with a slope of 2 and a y-intercept of -5, shading above the line.