2.11-bo'lim: Chiziqli tengsizliklar

1-6-masalalar uchun quyidagi tengsizliklarning har birini yeching. Yechimni ham tengsizlik, ham intervalli yozuvlarda keltiring.

1. \(4\left( {z + 2} \right) - 1 > 5 - 7\left( {4 - z} \right)\) Yechim
2. \(\displaystyle \frac{1}{2}\left( {3 + 4t} \right) \le 6\left( {\frac{1}{3} - \frac{1}{2}t} \right) - \frac{1}{4}\left( {2 + 10t} \right)\) Yechim
3. \( - 1 < 4x + 2 < 10\) Yechim
4. \(8 \le 3 - 5z < 12\) Yechim
5. \(0 \le 10w - 15 \le 23\) Yechim
6. \(\displaystyle 2 < \frac{1}{6} - \frac{1}{2}x \le 4\) Yechim
7. Agar \(0 \le x < 3\) tengsizlik uchun a va b ni aniqlasa: \(a \le 4x + 1 < b\) Yechim