Question

ex 4 va rog frumos , nu am idee cum trebuie să-l fac ​

Answer 1

Răspuns:

$a) |x + 1| < 4 \\ x + 1 < 4 \: \: x < 3 \\ - (x + 1) < 4 \\ - x - 1 < 4 \\ - x < 5 | \times ( - 1) \\ x > - 5 \\ cum \: - 5 < x < 3 \: rezulta \: ca \: x \: apartine \: ( - 4. - 3. - 2. - 1.0.1.2)$

$b) |2x - 3| < 7 \\ 2x - 3 < 7 \\ 2x < 4 \\ x < 2 \\ - (2x - 3) < 7 \\ - 2x + 3 < 7 \\ - 2x < 4 \\ x > - 2 \\ cum - 2 < x < 2 \: x \: apartine \: ( - 1.0.1)$

$c)3 \times |2x - 1| - 5 < 16 \\ 3 \times (2x - 1) - 5 < 16 \\ 6x - 3 - 5 < 16 \\ 6x < 24 \\ x < 6 \\ 3 \times |2x - 1| - 5 < 16 \\ 3 \times ( - (2x - 1)) - 5 < 16 \\ 3 \times ( - 2x + 1) - 5 < 16 \\ - 6x + 3 - 5 < 16 \\ - 6x < 18 \\ x > 3 \\ cum \: 3 < x < 6 \: \: x \: apartine \: (4.5)$