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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Systems of Linear Equations and Inequalities
Graphing Linear Inequalities in Two Variables

Warm-Ups



1

The point (-1, 4) satisfies the inequality y > 3x + 1.
A)TRUE
B)FALSE
2

The point (2, -3) satisfies the inequality 3x - 2y ≥ 12.
A)TRUE
B)FALSE
3

The graph of the inequality y > x + 9 is the region above the line y = x + 9.
A)TRUE
B)FALSE
4

The graph of the inequality x < y + 2 is the region below the line x = y + 2.
A)TRUE
B)FALSE
5

The graph of x = 3 is a single point on the x-axis.
A)TRUE
B)FALSE
6

The graph of y ≤ 5 is the region below the horizontal line y = 5.
A)TRUE
B)FALSE
7

The graph of x < 3 is the region to the left of the vertical line x = 3.
A)TRUE
B)FALSE
8

In graphing the inequality y ≥ x we use a dashed boundary line.
A)TRUE
B)FALSE
9

The point (0, 0) is on the graph of the inequality y ≥ x.
A)TRUE
B)FALSE
10

The point (0, 0) lies above the line y = 2x + 1.
A)TRUE
B)FALSE