Algebra II Workbook - Wayne County Public Schools

LESSON
2.6
NAME _________________________________________________________ DATE ____________
Practice with Examples
For use with pages 108–113
GOAL
Graph linear inequalities in two variables and use linear inequalities to
solve real-life problems
VOCABULARY
A linear inequality in two variables can be written in one of the following
forms: Ax By < C, Ax By ≤ C, Ax By > C, Ax By ≥ C.
An ordered pair x, y is a solution of a linear inequality if the inequality
is true when the values for x and y are substituted into the inequality.
A graph of a linear inequality in two variables is the graph of all
solutions of the inequality.
The boundary line of the inequality divides the coordinate plane into
two half-planes; a shaded region containing the points that are solutions
of the inequality, and an unshaded region which contains the points that
are not.
EXAMPLE 1
Checking Solutions of Inequalities
Check whether the given ordered pair is a solution of x 2y < 6.
a. 0, 6
b. 2, 4
c. 3, 2
SOLUTION
Ordered Pair Substitute Conclusion
a. 0, 6 0 26 12 < 6 0, 6 is a solution.
b. 2, 4
2 24 6 < 6 2, 4 is not a solution.
c. 3, 2 3 22 7 < 6 3, 2 is not a solution.
Chapter 2
Exercises for Example 1
Check whether the given ordered pairs are solutions of the
inequality.
1. x ≥ 1; 1, 2, 5, 2
2. y ≤ x 1; 4, 5, 2, 1
3. y > 5; 2, 6, 0, 2
4. 4x < 9; 3, 2, 2, 5
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Algebra 2 37
Practice Workbook with Examples