X2 + 12x< - 11 enter abswer in interval notation using groups ing symbols

X^2+12x<-11

add 11 both sides

x^2+12x+11<0

wht 2 numbres multiply to get 11 and add to get 12

11 and 1

(x+1) (x+11) <0

at x=-1 and x=-11

test other numbers

x=-10 gives us - 9<0, true

x=-12 gives us 13<0, false

x=0 give us 0<0, false

so it is the range of numbers from - 1 to - 11

-11