i have the answer but i m not enitirely sure how i got it... can somebody explain how this is done?
revising for As exam tomorrow and panicing lol
thanks!
Hi
Inequation $\displaystyle x^2 + 2x < 3$ is equivalent to $\displaystyle x^2 + 2x - 3 < 0$
1 is solution of $\displaystyle x^2 + 2x - 3 = 0$ therefore you can factor by (x-1)
$\displaystyle (x-1)(x+3) < 0$
A product of 2 factors is negative when exactly one of them is negative and the other one positive
Review all the possible cases, build a table of signs to find the answer