Question

Determine the solution x^2 - 3x -28 ≥ 0

Answer 1

Answer:

(Infinity)],-4 or 7, ( Infinity)

Answer 2

x^2 - 3x -28 ≥ 0

factor

(x-7) (x+4) ≥ 0

x=7  x=-4

we have three regions where the answers can lie

x<-4  between -4 and 7  and x>7

pick a point and see if it works

x=-10

(-10-7) (-10+4) ≥ 0

negative * negative  is greater than 0 so this is a solution   x< -4

x=0

(0-7) (+4) ≥ 0

negative * positive  is less than 0 so this is  not a solution  

x=10

(10-7) (10+4) ≥ 0

positive * positive is greater than 0 so this is a solution   x>7

We have two regions that work

x<-4 and x>7