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Manoj Meena

· started a discussion

· 1 Months ago

PAGLE

Question:
If log2 (x + 1) < 2 ,then
Options:
A) x < 3
B) -1 \(<\) x < 3
C) x > 3
D) x > 3, x \(\leq\) -1
Solution:
Ans: (b) log2 (x + 1) < 2

\(\Rightarrow\) 22 > x + 1

\(\Rightarrow\) 4 > x + 1

\(\Rightarrow\) 3 > x                 ... (1)

But log of zero and negative number are not possible.

\(\therefore\) x + 1 \(>\) 0

\(\Rightarrow\) x \(>\) -1               ... (2)

Combining (1) and (2)

-1 \(<\) x < 3.

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