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23 Jul 2021, 08:15
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
81% (01:12) correct
19%
(01:24)
wrong
based on 534
sessions
History
Date
Time
Result
Not Attempted Yet
If |2x − 3| + 2 > 7, which of the following could be the value of x ?
I. −4
II. 2
III. 3
A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III
I. −4
II. 2
III. 3
A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III
23 Jul 2021, 17:05
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I => |2(-4) − 3| + 2 > 7
=> |-8 − 3| + 2 > 7
=> |-11| + 2 > 7
=> 11 + 2 > 7
=> 13 > 7
II => |2(2) − 3| + 2 > 7
=> |4 − 3| + 2 > 7
=> |1| + 2 > 7
=> 1 + 2 > 7
=> 3> 7
II => |2(3) − 3| + 2 > 7
=> |6 − 3| + 2 > 7
=> |3| + 2 > 7
=> 3 + 2 > 7
=> 5> 7
Therefore, A. I only
=> |-8 − 3| + 2 > 7
=> |-11| + 2 > 7
=> 11 + 2 > 7
=> 13 > 7
II => |2(2) − 3| + 2 > 7
=> |4 − 3| + 2 > 7
=> |1| + 2 > 7
=> 1 + 2 > 7
=> 3> 7
II => |2(3) − 3| + 2 > 7
=> |6 − 3| + 2 > 7
=> |3| + 2 > 7
=> 3 + 2 > 7
=> 5> 7
Therefore, A. I only
SurajC
Joined: 28 Jun 2020
Last visit: 30 Mar 2022
Posts: 11
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Given Kudos: 18
Location: United States (CA)
Schools: Wharton '24 (S) Stanford '24 (S) McCombs '24 (WL) Anderson '24 (WL) Haas '24 (S) Marshall '24 (S) Kellogg '24 (I) Columbia CBS '24 (S) Stern '24 (S)
24 Jul 2021, 17:21
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Simplied the inequality and then plugged in the answer choices. Only (A) provides a satisfactory solution.
|2x − 3| + 2 > 7
=> |2x − 3| > 5
Plug in values
|2x − 3| + 2 > 7
=> |2x − 3| > 5
Plug in values
