If 2s > 8 and 3t < 9, which of the following could be

BTGmoderatorDC wrote:If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III

OA A

Source: GMAT Prep

Given 2s > 8 and 3t < 9, we find that s > 4 and t < 3. So, s – t would be greater than 1. Thus, none of the values –1, 0, and 1 can be correct for it.

The correct answer: A

Hope this helps!

-Jay
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BTGmoderatorDC wrote:If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

I. -1
II. 0
III. 1

A. None
B. I only
C. II only
D. III only
E. II and III

OA A

Source: GMAT Prep

We see that s > 4 and that t < 3. Since s is always greater than t, the difference cannot be -1 or zero.

Furthermore, since s > 4 and t < 3, we see that s and t are more than 1 unit apart, so the difference cannot be 1.

Alternate Solution:

Let’s divide each side of 2s > 8 by 2: s > 4

Let’s divide each side of 3t < 9 by -3, being sure to change the direction of the inequality since we are dividing by a negative number: -t > -3

Let’s add the two inequalities together: s - t > 1

We see that none of the provided numbers are greater than 1.

Answer: A