Inequality

they've taught it really well in lectures

First of all x cannot be equal to 3 as it would make denominator 0

Now we want a value less than 0, thats means it should be negative

Now the numeraor cannot be negative , as the square of any no. would be positive and positive+2= a posiive no.

So we need a negative denominator, wor denominator to be negative, the no. should be less than 3

so we get the (-infinity,3)

Last option is incorrect as it has a square bracket which means it includes 3