Question

x apartine lui z astfel incat |-3| x si |2x-1|<19​

Answer 1

Explicație pas cu pas:

$\left \{ {{ | - 3|x < 19 } \atop { |2x - 1| < 19 }} \right. < = > \left \{ {{3x < 19 } \atop { - 19 < 2x - 1< 19 }} \right.$

$\left \{ {{x < \frac{19}{3} } \atop { - 18 < 2x < 20 }} \right. < = > \left \{ {{x < \frac{19}{3} } \atop { -9 < x < 10 }} \right.$

x ∈ Z =>

x ∈ {-8;-7;-6;-5;-4;-3;-2;-1;0;1;2;3;4;5;6}