Question

Solution set of the inequation |2^x –1| + |4 – 2^x| < 3 is :

• A. No solution
• B. (0, 2)
• C. (–  , )
• D. None of these

Answer 1

Answer: (A)

No solution

Answer 2

Case-I

x < 0

1– 2^x + 4 –2^x < 3

2.2^x > 2 Ž 2^x > 1 not possible

Case-II

0 £ x < 2

2^x –1 + 4 – 2^x < 3 not possible

Case-III

x ³ 2

2.2^x < 8

2^x < 4 not possible

x Ī f no solution