AnswersCUSD Advanced Math A 5.0Exponential and Logarithmic Inequalities

Exponential and Logarithmic Inequalities Answers

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1
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What is the solution set for the exponential inequality?

A
(–∞, 2)
B
(2, ∞)
C
(–2, 2)
D
(–∞, 2) ∪ (2, ∞)
3

1.214 11.673 ✔ 14.168

A
1.214
B
11.673
C
✔ 14.168
4

Which statements accurately reflect Braden’s inequality? Check all that apply.

A
The domain of the logarithmic expression is x < 2.
B
The solution set is the interval (5, 14).
C
When written as two inequalities and graphed, the graphs intersect at (5, 14).
D
When graphed, the overlapping shading extends to positive infinity.
E
The ordered pair (32, 3) could be included in the table.
6

Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.

Answers:
The inequality 10,000()t < can be used to represent the situation.:0.85
The inequality 10,000()t < can be used to represent the situation.:1,000
The solution set for the inequality is (, ∞).:14.168
10

Which best describes Amy’s solution?

A
Amy is correct. The interval is the solution set for the inequality.
Option A
B
Amy did not break the inequality into two related inequalities. Her solution set only relates to one inequality.
Option B
C
Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞).
Option C
D
Amy used the wrong variable when writing the solution. The solution set should relate to y and not x.
Option D
12

Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.

Answers:
The inequality 10,000()t < can be used to represent the situation.:0.85
The inequality 10,000()t < can be used to represent the situation.:1,000
The solution set for the inequality is (, ∞).:14.168
14

0.100.15✔ 1,0001,500

A
0.10
B
0.15
C
✔ 1,000
D
1,500

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