Write in Interval Form

Question

x² - 5x + 6 < 0 . x² - 2x - 3x + 6 < 0 . x (x-2) - 3 (x-2) < 0 . (x-3) (x-2) < 0 . x<2 & x<3 So is the Interval I=(-∞ , 3)

Is this correct? can someone help?

Are yoy trying to solve this inequality? – Sean Roberson Nov 12 '16 at 03:03 — Sean Roberson, Nov 12 '16 at 03:03

score 1 · Accepted Answer · answered Nov 12 '16 at 03:04

1

Consider where (x-3)(x-2)=0. Then find where between or outside those points it is less than 0.

answered Nov 12 '16 at 03:04

RJM

Is the answer(-∞, 3) – user385779 Nov 12 '16 at 03:05
No. Try x=-4, for example. – RJM Nov 12 '16 at 03:06
it's(1,3) right? – user385779 Nov 12 '16 at 03:08
Where does the equation equal 0 – RJM Nov 12 '16 at 03:08
okay it's (2,3) – user385779 Nov 12 '16 at 03:09
Close, but why 1? – RJM Nov 12 '16 at 03:09
Yes. That is right. – RJM Nov 12 '16 at 03:09
sorry I made a mistake – user385779 Nov 12 '16 at 03:09
Welcome again. As you continue on, you'll likely have to consider unions of intervals. Consider, if this asked where x > 0. – RJM Nov 12 '16 at 03:11
I'm sorry I don't follow? – user385779 Nov 12 '16 at 03:13
Sorry, misspoke. If your problem asked for which x the inequality is greater than 0. (-$\infty$,2) $\cup$ (3,$\infty$) – RJM Nov 12 '16 at 03:15
is it possible that I tag you and ask you a few more questions like throughout this week l, I have exams coming up and I have like zero help from anyone, it would be highly appreciated and if not also it's fine – user385779 Nov 12 '16 at 03:16
Sure, but i work a ton, so am not always on here. If i am, i will help. – RJM Nov 12 '16 at 03:17
oh my god thank you so much it's fine please reply only when you're free! Thank you so much for your help! – user385779 Nov 12 '16 at 03:18
No problem. Good luck with learning for the exam. – RJM Nov 12 '16 at 03:19
hello, can you check out the question I've posted? – user385779 Nov 12 '16 at 07:34

1 Answers1