Pl explain
If 6 < (4 – x)/5, which of the following must be true?
I. x > 26
II. |x + 19| > 7
III. |x| = -x
- I only
- II only
- II and III only
- I and II only
- I, II and III only
Pl explain the solution. For option II, soltion set will be x<-26 or x>-8. Option III only indicates that x should be -ve value but suggests no value
Pl explain the solution. For option II, soltion set will be x<-26 or x>-8. Option III only indicates that x should be -ve value but suggests no value
Hi yathiraj,
Remember, this is “MUST-BE” question and they have provided here an “If condition in the question”
So, based on the if condition given here,
6 < (4-x)/5
30 < 4 – x
x < -26,
So question is,
If x < -26, then which of the following must be true ?
Say if x = -27,
I. Doesn’t hold good.
II. This holds true for x = -27.
III. This hold true x = -27.
So, if you look at it, in the second statement,
|x+19| > 7
x+19 < -7
x < -26.
Similarly statement III is true for all the negative values,
Since x < -26, then statement III true for all the values.
So the answer has to be both II and III.
Remember, we are trying to prove the statements based on the condition x < -26.
Hope this helps.
