Graph Linear Inequalities

Front

What type of line is drawn when graphing a linear inequality with \( \leq \) or \( \geq \)?

Back

A solid line.

Front

What type of line is drawn when graphing a linear inequality with < or >?

Back

A dotted line.

Front

Which point is NOT part of the solution set for the inequality represented by the graph? (0, -2), (1, 1), (3, 3), (2, 10)

Back

(3, 3)

Front

Which inequality corresponds to a graph that includes all values greater than or equal to -4?

Back

\( x \geq -4 \)

Front

Which point is NOT part of the solution set for the inequality represented by the graph? (3, 4), (0, 4), (-2, 6), (6, 2)

Back

(0, 4)

Front

Is the point (1, 6) a solution to the inequality \( y < 2x + 4 \)?

Back

Yes.

Front

What does the solution set of a linear inequality represent?

Back

All the points that satisfy the inequality.

Front

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

Back

Substitute the point's coordinates into the inequality and check if the statement is true.

Front

What is the graphical representation of the inequality \( y \leq 3x + 2 \)?

Back

A solid line with the area below the line shaded.

Front

What does it mean if a line is dotted when graphing an inequality?

Back

The points on the line are not included in the solution set.