Answer:
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
