Graph Linear Inequalities In Two Variables

Front

Are the points on the boundary line part of the solution set?

Back

Yes, they are part of the solution set.

Tags

CCSS.HSA.REI.D.12

Front

If the inequality symbol is < or >, the line will be _________.

Back

dotted.

Tags

CCSS.HSA.REI.D.12

Front

If the inequality symbol is ≤ or ≥, the line will be ___________.

Back

solid.

Tags

CCSS.HSA.REI.D.12

Front

Which point below is part of the solution set? (0,-2), (1,3), (3,-4), (8,1)

Back

(1,3)

Front

Which point below is NOT part of the solution set? (0,0), (-10,20), (3,5), (3,0)

Back

(3,0)

Front

What is a linear inequality in two variables?

Back

An inequality that can be written in the form ax + by < c, ax + by > c, ax + by ≤ c, or ax + by ≥ c.

Front

What does the solution set of a linear inequality represent?

Back

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

Tags

CCSS.HSA.REI.D.12

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line. 2. Use a solid line for ≤ or ≥ and a dotted line for < or >. 3. Shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the boundary line in a linear inequality?

Back

It separates the solution set from the non-solution set.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

It means that the point satisfies the equation of the boundary line, and whether it is included in the solution set depends on the inequality symbol.

Tags

CCSS.HSA.REI.D.12