MA.912.A.3.4 Graphing and Solving Inequalities
4-Function Calculator
Functions
Polynomials
Rationals-Discrete
In Your Text
Sections 5.1-5.4 Pp 283-309
Section 5.9 Pages 315-320
What You Need To Know...
Solve and graph simple and compound inequalities in one variable.
- The benchmark will be assessed using MC (Multiple Choice) items.
- Items may require justification for each step of the solution.
- Items may require graphing on a number line.
- Items may require solving simple and compound inequalities and/or graphing solutions on a number line.
Example One
Taylor has a total of $25 to spend on dinner, which includes a 6.5% sales tax and a 20% tip. Taylor used the inequality shown below to calculate the amount in dollars, a, she can spend before tax and tip.
1.2(a + 0.065a) < 25
Which of the following shows the solution to this inequality?
A. a < 22.74
B. a < 22.34
C. a < 19.76
D. a < 19.56
Example Two
Which graph shows the solution to the inequality shown below?
15 < 7n – 2(n – 10) < 35
Additional Examples
Solving & Graphing
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One-Step Iinequalities
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Compound Inequalities Intro
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Compound Inequalities Part 1
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Compound Inequalities Part 2
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Compound Inequalities Part 3
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