carcass wrote:
Is the value of a^2 - b^2 greater than the value of (3a + 3b) (2a - 2b) ?
(1) b < a
(2) a < -1
Is
\(a^2-b^2 > 6* (a^2 - b^2)\) ? --> Is
\(5*(a^2-b^2) < 0\) ? --> Is
\(5*(a-b) * (a+b) < 0\) ?(1) Statement 1 can be written as
b-a<0, which implies
a-b>0. No information is given about
a+b. Hence insufficient.
(2) Statement 2 is insufficient because no information is given about
b(Combined)
a and
b are both negative, hence we know
a+b is also negative. The answer to the question stem is
Yes. Answer choice
C is correct.