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For the inequalities above, what is the maximum possible value of P +
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14 Oct 2019, 06:46
14 Oct 2019, 06:46
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\(−2 < P ≤ −1\)
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6804
Given Kudos: 799
Location: Canada
Re: For the inequalities above, what is the maximum possible value of P +
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23 May 2020, 12:45
23 May 2020, 12:45
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Top Contributor
Bunuel wrote:
\(−2 < P ≤ −1\)
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
Since the inequality symbols are all facing in the same direction, we can add them (piece-wise)
We get: (-2) + (-1) + 0 + 1 < P + Q + R + S ≤ (-1) + 0 + 1 + 2
Simplify to get: -2 < P + Q + R + S ≤ 2
So the maximum value of the sum is 2
Answer: C
Cheers,
Brent
VP
Joined: 20 Jul 2017
Posts: 1297
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30 
WE:Education (Education)
Re: For the inequalities above, what is the maximum possible value of P +
[#permalink]
14 Oct 2019, 06:49
14 Oct 2019, 06:49
Bunuel wrote:
\(−2 < P ≤ −1\)
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
\(−1 < Q ≤ 0\)
\(0 < R ≤1\)
\(1 < S ≤ 2\)
For the inequalities above, what is the maximum possible value of P + Q + R + S ?
A. -2
B. 0
C. 2
D. 4
E. 6
Maximum value = -1 + 0 + 1 + 2 = 2
IMO Option C
