Question

If a,= 1 and 1 > b > 0 then which of following statement is true
A. a = b
B. b > a
C. 1\b >a D. 1/a < b

Answer 1

Option C is correct. Means  $\mathbf{\frac{1}{b}> a}$

Step-by-step explanation:

1. a= 1         ...1)       (Given)

2. $\mathbf{1>b>0}$         ...2)     (Given)

  After divide by b in equation, there are no change in inequality

   $\mathbf{\frac{1}{b}>\frac{b}{b}>\frac{0}{b}}$

  above inequality can also be written as

  $\mathbf{\frac{1}{b}>1>0}$      ...3)

3. From equation 3)

   We can say that

   $\mathbf{\frac{1}{b}>1}$        ...4)

4. From equation 4), It is clear that  $\mathbf{\frac{1}{b}}$ is greater than 1. Then it is also     greater than a.

   From equation 4) and equation 1)

   $\mathbf{\frac{1}{b}>a}$   means option C is correct.