An algebra problem by Manish Mayank

Algebra Level 2

If m = 9 11 \frac{9}{11} then which of the following is greater than 'm'

(i) 1 m \frac{1}{m} (ii) m + 1 m \frac{m+1}{m} (iii) m + 1 m − 1 \frac{m+1}{m-1}

(i) only (ii) and (ii) only (i) and (ii) only (i) and (iii) only

Manish Mayank by Manish Mayank , 20, India

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1 solution

Rahul Ranjan
Jun 13, 2014

since m=9/11 thus 1/m >1>m Now, m+1/m=(1+1/m)>1/m>m And (m+1)/(m-1)=[1+1/m]/[1-1/m]<0<m

thus only option 1 & 2 are correct!

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