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25 Dec 2022, 07:00
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:54) correct
24%
(01:49)
wrong
based on 123
sessions
History
Date
Time
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Not Attempted Yet
12 Days of Christmas GMAT Competition with Lots of Fun
Is x > 0 ?
(1) |x + 2| > 3 – x
(2) |2 – x| = 10 – 2x
Is x > 0 ?
(1) |x + 2| > 3 – x
(2) |2 – x| = 10 – 2x
|
Oppenheimer1945
Joined: 16 Jul 2019
Last visit: 09 Jul 2025
Posts: 795
Given Kudos: 223
Location: India
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80 
GPA: 7.81
Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)
GMAT Focus 1: 645 Q90 V76 DI80
Posts: 795
25 Dec 2022, 07:16
Kudos
Bookmarks
S1)
solving graphically:
|x + 2| > 3 – x
in x>0 region
=> x+2=3-x;
=> x=1/2
when x<1/2, |x+2| is below 3-x
when x>1/2, |x+2| is above 3-x (x>0)
Hence suff
S2)
|2 – x| = 10 – 2x
Graphically both intersects at x-2=10-2x;
=>x=4
x>0
(Suff)
hence D
solving graphically:
|x + 2| > 3 – x
in x>0 region
=> x+2=3-x;
=> x=1/2
when x<1/2, |x+2| is below 3-x
when x>1/2, |x+2| is above 3-x (x>0)
Hence suff
S2)
|2 – x| = 10 – 2x
Graphically both intersects at x-2=10-2x;
=>x=4
x>0
(Suff)
hence D
25 Dec 2022, 07:18
Kudos
Bookmarks
Is x > 0 ?
(1) |x + 2| > 3 – x
(2) |2 – x| = 10 – 2x
1. Concept: > equality opens as: x+2 >3-x and x+2< -(3-x)
solving this gives x>0.5 only solution. Second x cancels so no solution.
1 is sufficient
2. |2 – x| = 10 – 2x
10-2x = 2-x and 10-2x= x+2
solving this gives x=4,8
Sufficient as x>0
Ans: D
(1) |x + 2| > 3 – x
(2) |2 – x| = 10 – 2x
1. Concept: > equality opens as: x+2 >3-x and x+2< -(3-x)
solving this gives x>0.5 only solution. Second x cancels so no solution.
1 is sufficient
2. |2 – x| = 10 – 2x
10-2x = 2-x and 10-2x= x+2
solving this gives x=4,8
Sufficient as x>0
Ans: D
