Sets Relations And Functions Question 75

Question: If y = $ | x |+| x-1 | $ . then for x $ \le $ 0, y is equal to

Options:

A) 2x-1

B) 1

C) 1 - 2x

D) x + 1

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ y=| x |+| x-1 |,x\le 0. $ when $ x\le 0,| x |=-x $ and $ | x-1 |=1-x\therefore =| x |+| x-1 |=-x+1-x=1-2x. $