MA.912.A.3.4 Graphing and Solving Inequalities

Solve and graph simple and compound inequalities in one variable.

1. The benchmark will be assessed using MC (Multiple Choice) items.
2. Items may require justification for each step of the solution.
3. Items may require graphing on a number line.
4. Items may require solving simple and compound inequalities and/or graphing solutions on a number line.

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

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Which graph shows the solution to the inequality shown below?

15 < 7n – 2(n – 10) < 35

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