Solving Systems of Inequalities

Front

An inequality using a ≤ or a ≥ has a ___________ line.

Back

solid

Front

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

Back

(1, 0)

Front

Identify the system of inequality shown: y > -4/5x - 1, y ≤ 2/3x + 3, y ≥ -4/5x - 1, y ≤ 2/3x + 3, y < -4/5x - 1, y < 2/3x + 3, y = -4/5x - 1, y ≥ 2/3x + 3

Back

y > -4/5x - 1, y ≤ 2/3x + 3

Front

What type of line is used for inequalities that do not include equal to (e.g., < or >)?

Back

dashed

Front

What is the solution set of the inequality y < 3?

Back

All points below the line y = 3.

Front

How do you graph the inequality y ≥ -x + 1?

Back

Graph the line y = -x + 1 as a solid line and shade above it.

Front

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

Back

It means the point is included in the solution set if the line is solid, and not included if the line is dashed.

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 in the solution (≥ or ≤), while a dashed line indicates they are not (> or <).

Front

If y < 2x + 3, what region do you shade on the graph?

Back

Shade below the line y = 2x + 3.

Front

What is the first step in solving a system of inequalities?

Back

Graph each inequality on the same coordinate plane.