[tex]\displaystyle\bf\\2 < 0,5^{x-1} \leq 32\\\\\\2 < \Big(\frac{1}{2} \Big)^{x-1} \leq 2^{5} \\\\\\2 < \Big(2^{-1}\Big )^{x-1} \leq 2^{5} \\\\\\2 < 2^{1-x} \leq 2^{5} \\\\\\2 > 1 \ \ \ \Rightarrow \ \ \ 1 < 1-x \leq 5\\\\\\0 < -x \leq 4\\\\\\-4 < x \leq 0[/tex]
4 целых решений неравенства : - 3 ; - 2 ; - 1 ; 0
Ответ : 4
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
[tex]\displaystyle\bf\\2 < 0,5^{x-1} \leq 32\\\\\\2 < \Big(\frac{1}{2} \Big)^{x-1} \leq 2^{5} \\\\\\2 < \Big(2^{-1}\Big )^{x-1} \leq 2^{5} \\\\\\2 < 2^{1-x} \leq 2^{5} \\\\\\2 > 1 \ \ \ \Rightarrow \ \ \ 1 < 1-x \leq 5\\\\\\0 < -x \leq 4\\\\\\-4 < x \leq 0[/tex]
4 целых решений неравенства : - 3 ; - 2 ; - 1 ; 0
Ответ : 4