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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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KSBGC
Bunuel
If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11


Given,

x ≤ 8

3 ≤ y

.................

x + 3 ≤ 8 + y

x - y ≤ 8 - 3

x - y ≤ 5.

D is the best answer.

That was quite an elegant approach. Nicely done!
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Would also like to know in what instance would E not be the correct answer.
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if a>b and c<d (signs in opposite direction: > and <) --> a−c>b−d (take the sign of the inequality you subtract from).
Example: 3<4 and 5>1 --> 3−5<4−1

here, x≤8 and y≥3
or,x−y≤5 (subtracting )

correct answer D
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Bunuel
If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11
what's wrong with E bunuel

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