Question

Solve for x. Answer in Interval Notation using Grouping Symbols.
x^2+9x<-20

Answer 1

Answer:

In interval notation:

(-5,-4)

Step-by-step explanation:

 To solve the expression shown in the problem you must:

- Add 20 to both sides, then:

$x^{2}+9x+20<-20+20\\x^{2}+9x+20<0$

- Now you must find two number whose sum is 9 and whose produt is 20. These would be 4 and 5. Then, you have:

$(x+4)(x+5)<0$

- Therefore the result is:

$-5<x<-4$

In interval notation:

(-5,-4)

Answer 2

Answer:

-5 < x <-4  is the answer.

Step-by-step 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.