Question

(x + 3)^2 > (x – 2)^2

Answer 1

(x+3)^2>(x-2)^2
(x+3)^2-(x-3)^2>0
formula a^2-b^2=(a+b)(a-b)
(x+3-(x-2))×(x+3+x-2)>0
(x+3-x+2))×(2x+1)>0
(3+2)×(2x+1)>0
5×2x+5>0
10x+5>0
10x>-5
x>-5/10
x>-1/2
x>-0,5