Linear Inequalities

Front

What type of line is used to represent the inequality y < 7x - 9 on a graph?

Back

Dashed line

Front

What inequality is represented by the graph of a line with a slope of 3 and a y-intercept of -3?

Back

y ≤ 3x - 3

Front

How do you represent the solution set of the inequality y ≥ (7/4)x + 2 on a graph?

Back

The area above the line is shaded, and the line is solid.

Front

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

Back

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

Front

Is the point (-6, 3) a solution to the inequality -4x - 8y < 15?

Back

Yes, it satisfies the inequality.

Front

Is the point (2, 4) a solution of the inequality 4x + y > 3?

Back

Yes, it satisfies the inequality.

Front

What does it mean if a line is dashed in a graph of an inequality?

Back

It indicates that points on the line are not included in the solution set.

Front

What does it mean if a line is solid in a graph of an inequality?

Back

It indicates that points on the line are included in the solution set.

Front

What is the general form of a linear inequality in two variables?

Back

Ax + By < C, Ax + By ≤ C, Ax + By > C, or Ax + By ≥ C.

Front

How do you graph a linear inequality?

Back

First, graph the corresponding equation as a line, then shade the appropriate region based on the inequality.