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# If a is a member of Set A and b is a member of Set B, what is the leas

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Math Expert
Joined: 02 Sep 2009
Posts: 53709
If a is a member of Set A and b is a member of Set B, what is the leas  [#permalink]

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19 Feb 2019, 21:54
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Difficulty:

15% (low)

Question Stats:

76% (00:54) correct 24% (01:18) wrong based on 25 sessions

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Set A = {−1, 0, 1}
Set B = {−2, −1, 0, 1}

If a is a member of Set A and b is a member of Set B, what is the least possible value of a − b^2 ?

A. 2
B. 0
C. −2
D. −5
E. −9

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Re: If a is a member of Set A and b is a member of Set B, what is the leas  [#permalink]

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20 Feb 2019, 00:25
Bunuel wrote:
Set A = {−1, 0, 1}
Set B = {−2, −1, 0, 1}

If a is a member of Set A and b is a member of Set B, what is the least possible value of a − b^2 ?

A. 2
B. 0
C. −2
D. −5
E. −9

taking a as -1 and b as -2
a-b^2 = -5 IMO D
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Re: If a is a member of Set A and b is a member of Set B, what is the leas  [#permalink]

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20 Feb 2019, 15:33
Bunuel wrote:
Set A = {−1, 0, 1}
Set B = {−2, −1, 0, 1}

If a is a member of Set A and b is a member of Set B, what is the least possible value of a − b^2 ?

A. 2
B. 0
C. −2
D. −5
E. −9

least value of $$a -b^2$$.

*** scanning the answer choices it's clear that we have to try to get a negative result.

$$b^2$$ yields positive value all the time. take the greatest value as there is a negative sign before $$b^2$$.

a = -1

b = -2 .

$$a - b^2$$ = $$-1 - (-2)^2$$ = -1 - 4 = -5.

D is the correct answer.
Re: If a is a member of Set A and b is a member of Set B, what is the leas   [#permalink] 20 Feb 2019, 15:33
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# If a is a member of Set A and b is a member of Set B, what is the leas

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