The inductive step of an inductive proof shows that for k ≥ 4, if 2k > 3k, then 2k+1 ≥ 3(k+1). In which step uses the fact that k> 4> 1? a. Step 2 b. Step 3 c. Step 4 d. Step 5 2k+1 > 2.2k 2k+1 > 2.3k 2k+13k+ 3k 2k+1 ≥ 3k +3 2k+1 ≥3(k+1) (Step 1) (Step 2) (Step 3) (Step 4) (Step 5)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter2: Solving Equations
Section2.1: Properties And Operations
Problem 9C
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The inductive step of an inductive proof shows that for k ≥ 4, if
2k > 3k, then 2k+1 ≥ 3(k+ 1). In which step uses the fact that
k> 4> 1?
a. Step 2
O b. Step 3
c. Step 4
d. Step 5
2k+1
2k+1
2k+1
2k+1
2k+1
>
2.2k
> 2.3k
> 3k + 3k
≥ 3k + 3
≥ 3(k+1)
(Step 1)
(Step 2)
(Step 3)
(Step 4)
(Step 5)
Transcribed Image Text:The inductive step of an inductive proof shows that for k ≥ 4, if 2k > 3k, then 2k+1 ≥ 3(k+ 1). In which step uses the fact that k> 4> 1? a. Step 2 O b. Step 3 c. Step 4 d. Step 5 2k+1 2k+1 2k+1 2k+1 2k+1 > 2.2k > 2.3k > 3k + 3k ≥ 3k + 3 ≥ 3(k+1) (Step 1) (Step 2) (Step 3) (Step 4) (Step 5)
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