Linear Inequalities & Systems of Linear Inequalities

Front

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

Back

A solid line.

Front

Which of the following points is NOT a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

Back

(0,-1)

Front

Identify the point that is NOT part of the solution set: (0, 0), (-10, -10), (-1, 5), (5, 20).

Back

(-10, -10)

Front

Which point is a solution to the inequalities: (0, 6), (-3, 4), (1, 0), (-4, 3)?

Back

(1, 0)

Front

How can you tell if the graph of an inequality will have a solid line?

Back

The symbol has 'or equal to'.

Front

What does a dotted line represent when graphing a linear inequality?

Back

It represents inequalities with < or > (not including the boundary).

Front

What is the general form of a linear inequality in two variables?

Back

\( ax + by < c \) or \( ax + by > c \) or \( ax + by \leq c \) or \( ax + by \geq c \).

Front

What is the solution set of a linear inequality?

Back

The set of all points (x, y) that satisfy the inequality.

Front

How do you graph a system of linear inequalities?

Back

Graph each inequality on the same coordinate plane and find the overlapping region.

Front

What does it mean if a point lies on the boundary line of a linear inequality?

Back

It means the point is a solution if the inequality includes 'or equal to'.