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C
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Difficulty:
25%
(medium)
Question Stats:
78% (01:25) correct
22%
(01:23)
wrong
based on 943
sessions
History
Date
Time
Result
Not Attempted Yet
If |a + 3| ≤ 6 and |b + 4| ≤ 12, what is the maximum value of ab?
A. 24
B. 120
C. 144
D. 192
E. 256
A. 24
B. 120
C. 144
D. 192
E. 256
21 Jan 2019, 02:53
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|a+3| ≤ 6
-6 ≤ a+3 ≤6
subtract 3 on both sides
-9 ≤ a ≤ 3
|b+4| ≤ 12
-12 ≤ b+4 ≤ 12
subtract 4 on both sides
-16 ≤ b ≤ 8
Max value of ab can be -16*-9 = 144
C is the answer.
-6 ≤ a+3 ≤6
subtract 3 on both sides
-9 ≤ a ≤ 3
|b+4| ≤ 12
-12 ≤ b+4 ≤ 12
subtract 4 on both sides
-16 ≤ b ≤ 8
Max value of ab can be -16*-9 = 144
C is the answer.
General Discussion
21 Jan 2019, 03:32
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Bunuel
|a + 3| ≤ 6
-6≤a+3≤6
-9≤a≤9
again,
|b + 4| ≤ 12
-12≤b + 4 ≤12
-16≤b≤8
organize the data:
-9≤a≤9
-16≤b≤8
ab*** max.
ab =(-9) ( -16) = 144.
C is the correct answer.
