stne wrote:
C. b ≥ 5
D. b < 4
E. b > 5
Yes, I would like to agree with you on his one, though I haven't gone through the link posted by Bunuel ,
maybe there is something there which corrects our understanding. Please go through the link as posted by Moderator and see if it helps Anyway, According to me too correct answer should have been \(b <5 \)rather than \(b \leq 5\)
From the stem we know \(b = a\)
we also know \(a < 5 \)
Hence \(b < 5 \)
\(b= 5 \) cannot be true as \(a < 5\).
sujoykrdatta, can you help us understand, thank you.
Given that a < 5, and b - a = 0, which of the following must be true about b?
A. b = 5
B. b ≤ 5
C. b ≥ 5
D. b < 4
E. b > 5Think of what values of a are possible:
a = 4.99..., 4.1, 4, 3.8, 3, 2 ...
Since b - a = 0, we have: b = a
Thus, the values of b are:
b = 4.99..., 4.1, 4, 3.8, 3, 2 ...
Clearly, values of b are less than 5.
Now, the choices don't include that as an answer
So we need to find the
NEXT BEST OPTIONA. b = 5 - clearly wrong
C. b ≥ 5 - clearly wrong
D. b < 4 - not completely wrong, but we have missed out the values like 4.1, 4.8, etc. Hence, it is INCOMPLETE
E. b > 5 - clearly wrong
B. b ≤ 5 - all values of b are included, and we also have an extra value b = 5.
We haven't missed any value. Hence, this is the most complete solution.
Note: When we say b ≤ 5, it is read as b is LESS THAN
OR EQUAL TO 5. Hence, it isn't wrong.
Hope this helps!
Posted from my mobile deviceRight Sir, Thank you.
, Hope this helps. Remember \(b < 5 \),
Hence \(b=5 \) need not be true.