Question

$sqrt{5x-2} textless 4$

Answer 1

Решение:
$sqrt{5x - 2} textless 4$
$left { {{5x- 2 textless 16} atop {5x- 2 geq 0}} right.$
$0 leq 5x- 2 textless 16 \ 0+ 2 leq 5x textless 16 + 2 \ 2 leq 5x textless 18$
$2: 5 leq x textless 18 : 5 \ 0,4 leq x textless 3,6$
х ∈ [0,4; 3,6)
Ответ: [0,4; 3,6)