Solve the compound inequality and graph the solutions.

4x + 2 < −6 OR 4x + 2 > 18

(pie - 6) times(4 pie+3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant   4 • -18 = -72

Find two factors of  -72  whose sum equals the coefficient of the middle term, which is   -21 .

     -72    +    1    =    -71

     -36    +    2    =    -34

     -24    +    3    =    -21    

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -24  and  3

                    4x2 - 24x + 3x - 18

Add up the first 2 terms, pulling out like factors :

                   4x • (x-6)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-6)

Add up the four terms of step 4 :

                   (4x+3)  •  (x-6)

            Which is the desired factorization