11. Determine the solutions to the inequality in interval notation. (x - 1)(x + 3) < 0
a. (-0, -3) U (1,0)
b. (-3,1)
c. (-0, -1) U (3)
d. [-3,1]

9514 1404 393

  b.  (-3, 1)

Step-by-step explanation:

Quadratic (or any higher-degree) inequalities are nicely solved from their factored form. The factors tell you where the function is zero. Their signs tell you whether the product is greater than or less than zero.

Here the factor (x-1) tells you the function is zero at x=1, where this factor is zero. For values of x > 1, this factor is positive.

The  factor (x+3) tells you the function is zero at x=-3, where this factor is zero. For values of x > -3, this factor is positive.

Now we know the signs of the factors are the same for x < -3 (both negative) and for x > 1 (both positive). Between these values, the factors have different signs, so the function value is negative. This interval (-3, 1) is the interval that is the solution to ...

  (x -1)(x +3) < 0

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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step-by-step explanation: