If a = 3 + b, which of the following is true?

Question

If  a = 3 + b , which of the following is true?

I.  a > b + 2.5 
II.  a < b + 2.5  
III.  a > 2 + b

(A) I only 
(B) II only 
(C) III only 
(D) I and II only 
(E) I and III only

KSBGC · Answer

a = 3 + b.

a - b = 3.

I.  a > b + 2.5

a - b > 2.5. true.

III.  a > 2 + b

a - b > 2. True.

D is the correct answer.

janadipesh · Answer

E

Archit3110 · Answer

take b=1 so a= 4
IMO option 1 and option 3 are correct
IMO E

ScottTargetTestPrep · Answer

We can let b = 2, and thus a = 5. Let’s now analyze each Roman numeral: I. a > b + 2.5 Is 5 > 2 + 2.5 ? YES II. a < b + 2.5 Is 5 < 2 + 2.5 ? NO III. a > 2 + b Is 5 > 2 + 2 ? YES Alternate Solution: Since a = 3 + b, we can substitute a by (3 + b) in the inequalities. Let’s now analyze each Roman numeral with the above-mentioned substitution: I. a > b + 2.5 3 + b > b + 2.5 ? 3 > 2.5 → True II. a < b + 2.5 3 + b < b + 2.5 ? 3 < 2.5 → False III. a > 2 + b 3 + b > b + 2 ? 3 > 2 → True Answer: E

lynnglenda · Answer

a = 3 + b => b = a -3 1. a > 2.5 + b => a > 2.5 + a - 3 = > a > a - 0 .5 => 0 > -0.5 True 2. a < 2.5 => 0 < 0.5 False 3. a > 2 + b => 0 > -1 True A. E Posted from my mobile device

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If a = 3 + b, which of the following is true?

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If a = 3 + b, which of the following is true?

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