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20 Mar 2020, 04:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:52) correct
26%
(02:00)
wrong
based on 1117
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If \(|\frac{7 - 3j}{2}| \leq 4\), then which of the following must be true?
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
04 May 2020, 05:46
Kudos
Bookmarks
ShreyasJavahar
Kinshook
Bunuel
If \(|\frac{7 - 3j}{2}| \leq 4\), then which of the following must be true?
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
Asked: If \(|\frac{7 - 3j}{2}| \leq 4\), then which of the following must be true?
\(|\frac{7 - 3j}{2}| \leq 4\)
\(|7 - 3j| \leq 8\)
|3j - 7| <=8
- 8 <= 3j - 7 <=8
-1 <= 3j <= 15
-1/3 <= j <= 5
IMO C
Hi Kinshook,
Could you please explain the logic behind flipping the values inside the modulus in the highlighted part?
ShreyasJavahar
lxl < 3 means
-3 < x < 3
Similarly
l7 - 3j/2l ≤ 4 means
-4 ≤ 7 - 3j/2 ≤ 4
Multiplying all sides with 2
-8 ≤ 7 - 3j ≤ 8
Multiplying -1 in inequality (which requires us to flip the inequation signs)
8 ≥ 3j - 7 ≥ -8
Adding 7 in all parts of inequation
8+7 ≥ 3j ≥ -8+7
15 ≥ 3j ≥ -1
Dividing inequation by 3
5 ≥ j ≥ (-1/3)
Answer: Option C
Hope this help!!!
General Discussion
20 Mar 2020, 04:44
Kudos
Bookmarks
Bunuel
If \(|\frac{7 - 3j}{2}| \leq 4\), then which of the following must be true?
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
A. \(j \leq -\frac{1}{3}\)
B. \(j \leq \frac{3}{7}\)
C. \(j \leq 5\)
D. \(j \geq \frac{3}{7}\)
E. \(j \geq 5\)
Asked: If \(|\frac{7 - 3j}{2}| \leq 4\), then which of the following must be true?
\(|\frac{7 - 3j}{2}| \leq 4\)
\(|7 - 3j| \leq 8\)
|3j - 7| <=8
- 8 <= 3j - 7 <=8
-1 <= 3j <= 15
-1/3 <= j <= 5
IMO C
