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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
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