This is a Test of Mathematics Solution Subjective 67 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.

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Describe the set of all real numbers x which satisfy 2 <1.

2 < 1

Now x< 0 is not in the domain of logarithm.

So x> 0.

Now as x>0 2x+3 > 1.

So > for a>b

So 2 < 1 or > x

or 2x+3 >

or -2x -3 < 0

or -1 < x < 3

But x > 0 so set of all real number

x is 0 < x < 3.