8/4/08 SAT Question of the Day [Inequalities]

<p>If 3 < x < 7 and 4 < y < 7, which of the following best describes the range of values of x – y?</p>

<p>a –4 < x – y < 3
b 0 < x – y < 4
c 3 < x – y < 4
d 3 < x – y < 7
e 4 < x – y < 7</p>

<p>The answer is obvious, but what i don't get is if X is > 3, it cant be 3. It has to be 4, but why is it that CB states 3 as being the lowest possible value and 7 being the highest when the inequalities say otherwise. What am i not getting?</p>

<p>i don't understand your point.
just take the highest X - lowest Y, and lowest Y - highest X
and you get your answer.</p>

<p>since the question uses > and < signs, the answers should include the -4 and 3 to because they would be excluded with the greater than/less than sign.</p>

<p>i dont think my explanation is clear, but i hope it helps</p>

<p>What?! even if -4 is EXCLUDED and the value has to be bigger than -4, it still wouldnt work because if you look at the inequality, the smallest X possible is 4 and the biggest Y possible is 6. 4-6 = -2. You cant have -3, thus it wouldnt work with A.</p>

<p>answers A btw. </p>

<p>More input on this Q pls.</p>

<p>Quix, x can be 3.00000000000000000000000000000000001 and y can be 6.9999999999999999999999999999999999999999999999. </p>

<p>If x>3 and y<7, the minimum value of x-y must be a bit more than 3-7, or -4.</p>

<p>Oh ****, it doesnt say it has to be integers...
Omg bad day. Sorry guys!
SO IM RIGHT IF IT SAYS INTEGERS ONLY! RIGHT?!</p>

<p>Yep. 10char</p>

<p>Thinking of this from a limit perspective makes it a lot easier.</p>

<p>Quix, you got it.</p>