Question

Asked Aug 8, 2019

34 views

Step 1

**Calculation:**

The given quadratic inequality is (x–6)(x+4)≤ 0.

Change the inequality sign by equal sign to form equivalent equation as (x–6)(x+4)=0.

Note that, if the product of two algebraic expressions is zero, then at least one of the factors is equal to zero.

use the note and solve the above equation as follows.

Step 2

The solutions divide the *x *axis into the intervals as (–∞,–4), (–4,0), (0,6), and (6,∞).

Find the sign of the polynomial on each interval by selecting test value as follows.

Let the polynomial function be *f(x)=(x–6)(x+4).*

Obtain the sign of polynomial *f(x) *at the point *x=–5* on the interval (–∞,–4).

Step 3

Obtain the sign of polynomial *f(x) *at the point *x=&nda...*

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