Option A. All the real values of x where x < -1

Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.

1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1

The intersection is x >3

2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1

the intersection is x<-1.

We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.

You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.

6 0

3 years ago

Read 2 more answers

You earn $21.00 per hour at your job. If you get a 9% raise at the end of each year, what will your hourly rate, h, be after 5 y

NikAS [45]

Plug in the info given and solve:

h = 21(1.09)^5
h = $32.31

3 0

3 years ago

Find all the real square roots of 0.0016.

Hatshy [7]

Hello: here is a solution

6 0

3 years ago