Match List – I with List – II.

Choose the correct answer from the options given below:

A-III, B-I, C-IV, D-II

The correct answer is Option (3) → A-III, B-II, C-IV, D-I

$\text{A: } \frac{1}{x-1} < 0 \Rightarrow x-1 < 0 \Rightarrow x < 1,\ x \neq 1$

$\text{Solution: } (-\infty,1) \Rightarrow \text{III}$

$\text{B: } 3x-6 \le 0 \Rightarrow x \le 2$

$\text{Solution: } (-\infty,2] \Rightarrow \text{I}$

$\text{C: } 7x-3 < 3x+5 \Rightarrow 4x < 8 \Rightarrow x < 2$

$\text{Solution: } (-\infty,2) \Rightarrow \text{IV}$

$\text{D: } -4x+16 < 0 \Rightarrow -4x < -16 \Rightarrow x > 4$

$\text{Solution: } (4,\infty) \Rightarrow \text{II}$

$\text{A-III,\ B-I,\ C-IV,\ D-II}$