Question

Помогите,пожалуйста. Сумма целых решений неравенства 14-|4x-5|⩾3 равна

Answer 1

|4x-5|<=11
-11 <= 4x-5 <=11
-6 <= 4x <= 16
-1.5 <= x <= 4
x=-1;0;1;2;3;4
suma=9

Answer 2

$14-|4x-5| geq 3\\|4x-5| leq 11\\a)quad 4x-5 geq 0,; ; x geq frac{5}{4}quad Rightarrow ; ; 4x-5 leq 11\\4x leq 16\\x leq 4\\xin [, frac{5}{4};4, ]\\Celue:; ; 2,; 3,; 4; .\\b)quad 4x-5 textless 0; ,; ; x textless frac{5}{4}quad Rightarrow ; ; -(4x-5) leq 11\\-4x+5 leq 11; ,; ; 4x geq -6\\x geq -frac{3}{2}\\xin [-frac{3}{2};frac{5}{4})\\Celue:; ; -1,; 0,; 1; .\\c)quad Summa:; ; 2+3+4-1+1=9$