Question

See the question in the image

Answer 1

Answer:

C

Step-by-step explanation:

If I solve it all for you, you won't learn anything. so I'll just give you the approach.

open thw mod for both + ans - sign

you'll get two different equation, solve them separately and will get two sets of answers.

Answer 2

Answer:

$\large\boxed{ \sf{(c)\:x \: \epsilon \: ( - \infty , - 4) \: U \: (6, \infty)}}$

Step-by-step explanation:

$|x - 1| > 5$

We have following two cases:

Case I :

$= > x - 1 > 5 \\ \\ = > x - 1 + 1 > 5 + 1 \\ \\ = > x > 6 \: \: \: \: \: .......(i)$

Case II :

$= > x - 1 < - 5 \\ \\ = > x - 1 + 1 < - 5 + 1 \\ \\ = > x < - 4 \: \: \: \: \: .......(ii)$

Now, from eqn (i) and (ii), we have

$= > \sf{x \: \epsilon \: ( - \infty, - 4) \: U \: (6, \infty)}$

Hence, option (c) is Correct Answer.