Year 2016

Algebra Level 2

$\dfrac{x{(x+5)}^{2016}{(x-3)}^{2017}{(6-x)}^{1231}}{{(x-2)}^{10000}{(x+1)}^{2015}{(4-x)}^{242}} \geq 0$

Find all the possible values of $x$ .

Clarification : In the options, $\cup$ stands for union.

\{-5\}\cup\left(-1;0\right]\cup\left[3;4\right)\cup\left(4;6\right]

(-\infty,-1) \cup [0,2)\cup (2,3] \cup [6,\infty)

\mathbb R \setminus\{6\}

(-\infty,-5) \cup [2,5) \cup (3,7] \cup [8,\infty)

1 solution

K Sai Pradhyun Nov 15, 2006
Aug 25, 2020

![](https://ds055uzetaobb.c

Answer:- option 1

0 ko exclude kyo kiya....uspe to off power hai to sign change hona chahiye na

FAKE GAMER - 9 months, 2 weeks ago

@FAKE GAMER include kia to hai answer mein?

Aryan Sidhwani - 8 months, 4 weeks ago

won't the curve go down at 0 since at x=0 the power is 1 hence odd?

Ashutosh Naruka - 8 months, 3 weeks ago

since the power of 0 is 1 isnt that odd wont the curve go down

devika nb - 7 months, 2 weeks ago

Hello guys correct option is option 1.

Swaroop Naik - 1 month, 3 weeks ago