Which of the following inequalities is equivalent to –2 < x < 4 ?
(A) | x – 2 | < 4
(B) | x – 1 | < 3
(C) | x + 1 | < 3
(D) | x + 2 | < 4
(E) None of the above
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Inequalities
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Sunny22uk
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If you quickly scan through the answer choices only B and C can give you the answer 2 and 4.Nycgrl wrote:Which of the following inequalities is equivalent to –2 < x < 4 ?
(A) | x – 2 | < 4
(B) | x – 1 | < 3
(C) | x + 1 | < 3
(D) | x + 2 | < 4
(E) None of the above
lets take B
Positive case:-
x-1<3 i.e. x<4 (1)
Negative case:-
-(x-1)<3 i.e. -x+1<3
-x<2
x>-2 (2)
from 1 and 2
-2<x<4
IMO B
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