Review Unit 4 Flashcard

Front

What does the inequality y ≥ 1/3x + 2 represent graphically?

Back

A solid line with shading above the line, indicating all points (x, y) where y is greater than or equal to the line.

Front

What type of line is represented by the inequality y < 2x + 3?

Back

A dashed line with shading below the line, indicating all points (x, y) where y is less than the line.

Front

How do you determine the shading direction for the inequality y ≤ 2/5x + 1?

Back

Shade below the line, indicating all points (x, y) where y is less than or equal to the line.

Front

What does the inequality 3x - 2y < 10 represent graphically?

Back

A dashed line with shading below the line, indicating all points (x, y) where the inequality holds true.

Front

What does the inequality x < -1 mean in terms of graphing?

Back

A vertical dashed line at x = -1 with shading to the left, indicating all points where x is less than -1.

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 that points on the line are not included (> or <).

Front

How do you graph the inequality y ≥ mx + b?

Back

Graph the line y = mx + b as a solid line and shade above the line.

Front

What does the term 'shading' refer to in graphing inequalities?

Back

Shading indicates the region of the graph where the inequality holds true.

Front

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

Back

The slope (m) indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

How do you find the x-intercept of the equation 3x - 2y = 10?

Back

Set y = 0 and solve for x: 3x = 10, so x = 10/3.