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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Systems of Linear Equations and Inequalities
Graphing Systems of Linear Inequalities

Warm-Ups



1

Use the following systems for Exercises 1–7.

a)  y > -3x + 5 b)  y > 2x - 3 c)  x + y > 4
y < 2x - 3 y < 2x + 3 x - y < 0

The point (2, -3) is a solution to system (a).
A)TRUE
B)FALSE
2

The point (5, 0) is a solution to system (a).
A)TRUE
B)FALSE
3

The point (0, 0) is a solution to system (b).
A)TRUE
B)FALSE
4

The graph of system (b) is the region between two parallel lines.
A)TRUE
B)FALSE
5

You can use (0, 0) as a test point for system (c).
A)TRUE
B)FALSE
6

The point (2, 2) satisfies system (c).
A)TRUE
B)FALSE
7

The point (4, 5) satisfies system (c).
A)TRUE
B)FALSE
8

The inequality x + y > 4 is equivalent to the inequality y < -x + 4.
A)TRUE
B)FALSE
9

The graph of y < 2x + 3 is the region below the line y = 2x + 3.
A)TRUE
B)FALSE
10

There is no ordered pair that satisfies y < 2x - 3 and y > 2x + 3.
A)TRUE
B)FALSE








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