Answer:
Step-by-step explanation:
Add 2 to both sides
Simplify
Subtract from both sides
Simplify
Multiply both sides by (reverse the inequality)
Simplify
Divide both sides by
Divide the numbers:
Divide the numbers:
Apply fraction rule:
Divide the numbers:
Answer:
The function is negative for all real values of x where -6< x < -2
Step-by-step explanation:
Given f(x) = (x + 2)(x + 6)
The graph of the function is as shown in the attached figure.
As shown, we can deduce the following:
The function is positive for all real values of x where x > -2 and x < -6
The function is zero at x = -2 and x = -6
The function is negative for all real values of x where -6 < x <-2
Compare the observations to the given statements:
So, The true statement is The function is negative for all real values of x where -6 < x <-2
