Question

solve;(x+6)/(x-4)>0
​

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(x - 6) • (x + 4) = 0

STEP

2

:

Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-6 = 0

Add 6 to both sides of the equation :

x = 6

Solving a Single Variable Equation:

2.3 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4