Question:
If k < () 21 23k , where k is a natural number, then what is the value of k?
If k < () 21 23k , where k is a natural number, then what is the value of k?
Options:
- a) 11
- b) 13
- c) 15
- d) 17
- a) 11
- b) 13
- c) 15
- d) 17
correct answer : b)
Explanation:
k < () 21 3+ < k + 2
Þ k < 22 16 32++ + < k + 2
Þ k < 52 + 7 < k + 2
Þ k < 14.07 < k + 2
Þ k < 14.07 and k > 12.07
\ k = 13, 14
k < () 21 3+ < k + 2
Þ k < 22 16 32++ + < k + 2
Þ k < 52 + 7 < k + 2
Þ k < 14.07 < k + 2
Þ k < 14.07 and k > 12.07
\ k = 13, 14