Warm Up 12/11 Unit 3 Lesson 19

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a point that satisfies all inequalities in the system.

Front

What type of line is used when graphing linear inequalities with \( \leq \) or \( \geq \) signs?

Back

A solid line is used when graphing linear inequalities with \( \leq \) or \( \geq \) signs.

Front

Which point is NOT part of the solution set for a system of inequalities? (0, 0), (-10, -10), (-1, 5), (5, 20)

Back

(-10, -10) is NOT part of the solution set.

Front

What does the inequality \( y > \frac{1}{2}x + 3 \) represent when graphed?

Back

It represents the region above the line \( y = \frac{1}{2}x + 3 \) (not including the line itself).

Front

What does the inequality \( y < 3 \) represent when graphed?

Back

It represents the region below the line \( y = 3 \) (not including the line itself).

Front

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

Back

A solid line indicates that points on the line are included in the solution (\( \leq \) or \( \geq \)), while a dotted line indicates that points on the line are not included (\( < \) or \( > \)).

Front

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

Back

Substitute the point's coordinates into each inequality. If it satisfies all inequalities, it is a solution.

Front

What is the graphical representation of the inequality \( y \geq 2x - 1 \)?

Back

It includes the area above the line \( y = 2x - 1 \) and the line itself.

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set is the collection of all points that satisfy the given inequalities.

Front

What is the significance of the boundary line in graphing inequalities?

Back

The boundary line separates the solution region from the non-solution region.