4-5: Practice Flashcard

Front

What is a solution to a system of equations?

Back

A solution is a point that satisfies all equations in the system.

Front

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

Back

Substitute the point into the inequality; if the inequality holds true, it is a solution.

Front

What does the inequality symbol '>' indicate?

Back

It indicates that the value on the left is greater than the value on the right.

Front

What does the inequality symbol '<' indicate?

Back

It indicates that the value on the left is less than the value on the right.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x=0.

Front

What does it mean for a graph to be shaded above a line?

Back

It indicates that the solutions to the inequality are all the points above the line.

Front

What does it mean for a graph to be shaded below a line?

Back

It indicates that the solutions to the inequality are all the points below the line.

Front

Back

Front

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

Back

A solid line indicates 'greater than or equal to' or 'less than or equal to', while a dashed line indicates 'greater than' or 'less than'.

Front

What does the system of inequalities represent graphically?

Back

It represents the region where the solutions to all inequalities overlap.