Linear Inequalities Flashcard

Front

What does the inequality x + y ≤ -2 represent on a graph?

Back

The area below and including the line x + y = -2.

Front

How do you represent the inequality y < -1/2 x + 5 on a graph?

Back

Shade the area below the line y = -1/2 x + 5, using a dashed line.

Front

What type of line is represented by the inequality x < 2?

Back

A solid vertical line at x = 2, shading to the left.

Front

How is the inequality y > -3/2x + 4 represented graphically?

Back

Shade the area above the line y = -3/2x + 4, using a dashed line.

Front

What does the inequality y < 2/3x - 3 indicate on a graph?

Back

Shade the area below the line y = 2/3x - 3, using a dashed line.

Front

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

Back

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

Front

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

Back

The area above the line x + y = -2.

Front

How do you determine if a point (x, y) is a solution to the inequality y ≤ -1/2 x + 5?

Back

Substitute the x and y values into the inequality; if true, the point is a solution.

Front

What does the inequality y ≥ 3/2x + 4 represent graphically?

Back

Shade the area above and including the line y = 3/2x + 4.

Front

What is the significance of the slope in the inequality y < mx + b?

Back

The slope (m) indicates the steepness and direction of the line.