2.15-bo'lim : Mutlaq qiymat tengsizliklari
5. Quyidagi tenglamani yeching.
\[\left| {2z - 7} \right| > 1\]Yechim
Bu muammo uchun haqiqatan ham unchalik ko'p narsa yo'q. Biz qilishimiz kerak bo'lgan narsa bu bo'lim uchun eslatmalarda muhokama qilgan "kattaroq" tengsizliklar uchun formuladan foydalanishdir. Shunday qilib,
\[2z - 7 < - 1\hspace{0.25in}{\mbox{or}}\hspace{0.25in}2z - 7 > 1\]2-qadam
Yechimni olish uchun oldingi bosqichdagi ikkita tengsizlikni yechishimiz kerak. Mana o'sha ish.
\[\begin{array}{c}2z - 7 < - 1\hspace{0.25in}{\mbox{or}}\hspace{0.25in}2z - 7 > 1\\ 2z < 6\hspace{0.25in}{\mbox{or}}\hspace{0.25in}2z > 8\\ \require{bbox} \bbox[2pt,border:1px solid black]{{z < 3\hspace{0.25in}{\mbox{or}}\hspace{0.25in}\hspace{0.25in}z > 4}}\end{array}\]