AGS Unit 5 Flashcard

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables, representing a region on a graph where all inequalities are satisfied.

Front

What does the symbol '>' mean in inequalities?

Back

It means 'greater than'. For example, x > 2 means x is any number greater than 2.

Front

What does the symbol '<' mean in inequalities?

Back

It means 'less than'. For example, y < -4 means y is any number less than -4.

Front

What is the significance of a solid line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (≥ or ≤).

Front

What is the significance of a dashed line in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (> or <).

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the solution to a system of inequalities?

Back

The set of all points that satisfy all inequalities in the system.

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

It means that the point satisfies all inequalities in the system.

Front

How can you determine if a point is a solution to a system of inequalities?

Back

Substitute the point's coordinates into each inequality and check if all inequalities hold true.

Front

What is the graphical representation of the inequality y ≥ -2x - 2?

Back

It is represented by a solid line for the equation y = -2x - 2, with the area above the line shaded.