Answer:
-5 < x <-4 is the answer.
Explanation:
We have an inequality:
x²+9x<-20
We have to solve it for x.
Adding 20 on both sides of inequality we get,
x²+9x+20< -20+20
x²+9x+20 < 0
Now, we have to find two numbers whose sum is 9 and whose product is 12.
that are 4 and 5 then we use factorization to solve it we get,
(x+5)(x+4)<0
either (x+5) < 0 or (x+4) < 0
therefore the the values of x lie in the following interval:
-5< x <-4 is the answer.