Lesson 1: Linear Inequalities

Question 1

A mathematical statement that compares two expressions using inequality symbols.

Answer 1

Inequality

Question 2

A linear inequality in two variables x and y can be written in one of these forms.

Answer 2

ax + by > c, ax + by < c, ax + by > c, ax + by < c

Question 3

In a linear inequality, these two coefficients cannot both be zero.

Answer 3

a and b

Question 4

The graph of a linear inequality is always divided into these two parts.

Answer 4

Boundary line and shaded region

Question 5

The boundary line is solid when the inequality contains one of these symbols.

Answer 5

> or <

Question 6

The boundary line is broken when the inequality contains one of these symbols.

Answer 6

> or <

Question 7

This is the set of points that satisfy the inequality.

Answer 7

Solution region

Question 8

These are the two regions formed when graphing a linear inequality.

Answer 8

Region A and Region B

Question 9

A point in the coordinate plane used to determine which region to shade.

Answer 9

Test point

Question 10

What happens when the test point satisfies the inequality?

Answer 10

The region containing the test point is shaded.

Question 11

What happens when the test point does not satisfy the inequality?

Answer 11

The region opposite the test point is shaded.