Kem12 wrote:

hi

chetan2u Pls please help me out with solving this using wavy line method

I have tried but i still keep getting B as my answer

Thanks

Also in the Explanation in the picture the writer wrote (9-x)^2 but the question says (9-x^2) they are not the same thing

\(\frac{(9 – x^2)(x +1)(x + 2)^2}{(x + 3)(x – 2)} ≤ 0\)...

Hi..

You can get your answer by just looking at the extreme values of X for which the equation becomes 0..

Here the values will be 3 and -3, but since we are looking at only non positive integers, see the effect on the entire equation beyond x less than -3..

So substitute X as -4..

\(\frac{(9 – (-4)^2)(-4+1)(-4 + 2)^2}{(-4+ 3)(-4– 2)} ≤ 0......\frac{(-7)*(-3)*4}{(-1)*(-6)}=14>0\)..

So beyond x<-3, the equation will be positive, so discard all the values..

Now, we are left with 0,-1,-2,-3

Discard -3 as the denominator becomes 0 and our equation becomes undefined..

-1 and -2 will give you a 0 as value as numerator has (x+1) and (x+2) in numerator, so ok.

When x is 0, term becomes 9*1*2/(3*(-2))=-3, so ok..

Therefore values will be 0, -1, -2--------3 values

C

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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