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If x > 5 and y < −1, then which of the following statements is true?
(A) (x + 4y) > 1
(B) x > −4y
(C) −4x < 5y
(D) -x > -y
(E) None of these
(A) (x + 4y) > 1
(B) x > −4y
(C) −4x < 5y
(D) -x > -y
(E) None of these
13 Apr 2020, 21:13
Kudos
Bookmarks
If x > 5 and y < −1, then which of the following statements is true?
In such questions, you have to work on each choice. Although looking at x and y, we realize both can reach infinity on one of the sides-positive or negative. We can be sure of two cases only
1) If we subtract y from x, then we will get positive value.
2) If we subtract x from y, then we will get negative value.
(A) (x + 4y) > 1........Since we are looking at >1, make the x smaller and y greater.....x=6 and y = -10...x+4y=6+4*-10= -34<1
(B) x > −4y........this is again x+4y>0.., make the x smaller and y greater.....x=6 and y = -10...x+4y=6+4*-10= -34<0
(C) −4x < 5y....5y+4x>0...Again same as above...make the x smaller and y greater.....x=6 and y = -10...4x+5y=4*6+5*-10= -26<0
(D) -x > -y......y-x>0...y<0 and x>0...so y-x <0...
(E) None of these...Our answer
E
In such questions, you have to work on each choice. Although looking at x and y, we realize both can reach infinity on one of the sides-positive or negative. We can be sure of two cases only
1) If we subtract y from x, then we will get positive value.
2) If we subtract x from y, then we will get negative value.
(A) (x + 4y) > 1........Since we are looking at >1, make the x smaller and y greater.....x=6 and y = -10...x+4y=6+4*-10= -34<1
(B) x > −4y........this is again x+4y>0.., make the x smaller and y greater.....x=6 and y = -10...x+4y=6+4*-10= -34<0
(C) −4x < 5y....5y+4x>0...Again same as above...make the x smaller and y greater.....x=6 and y = -10...4x+5y=4*6+5*-10= -26<0
(D) -x > -y......y-x>0...y<0 and x>0...so y-x <0...
(E) None of these...Our answer
E
giuseppemvn
Joined: 15 Jan 2023
Last visit: 30 Apr 2025
Posts: 23
Own Kudos:
Given Kudos: 65
Location: Italy
Concentration: Strategy, Finance
Schools: HEC MiM "27 ESSEC MiM "27 IE
GMAT Focus 1: 625 Q81 V84 DI78 (Online) 
GPA: 3.41
18 Feb 2025, 04:07
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ARIEN3228
If x > 5 and y < −1, then which of the following statements is true?
(A) (x + 4y) > 1
(B) x > −4y
(C) −4x < 5y
(D) -x > -y
(E) None of these
(A) (x + 4y) > 1
(B) x > −4y
(C) −4x < 5y
(D) -x > -y
(E) None of these
I drew a number line on paper to better visualise all the possible numbers for x and y, then found cases to prove wrong each answer choice.
A) x = 6 ; y = -2
===> -2 > 1 ==> A is FALSE
B) x = 6 ; y = -2
===> 6 > 8 ==> B is FALSE
C) x = 6 ; y = -10
===> -24 < -50 ==> C is FALSE
D) x = 6 ; y = -2
===> -6 > 2 ==> D is FALSE
E) None of these
===> Correct choice.
