X2 - 2x - 4>=20

How do I solve this inequality

x≥6, x≤-4

Step-by-step explanation:

move everything to thee left

x² - 2x - 24 ≥ 0

(x-6) (x+4)

draw a number line and see where this inequality holds true; this part is a little difficult to explain

1 - when the numbers are smaller than - 4 or - 4; I choose - 5

x = - 5 (-5 - 6) (-5+4)

-11 - 1

11> 0

inequality is true

2 - numbers between - 4 and 6; I chose - 1

(-1-6) (-1+4)

-7 3

=-21

-21<0

inequality not true

3-numbers bigger than 6 or 6

I chose 6

(6-6) (6+4)

0 10

0=0

inequality is true