{"common":{"save":0,"post_id":"7107","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"5439","post_id":"7107","mon_id":"1158924","chapter_id":"1159168","question":"<p>T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$3^{x-2}>\\bigg(\\dfrac{1}{9}\\bigg)^{x-1}$<\/span> là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\bigg(\\dfrac{6}{7};+\\infty\\bigg)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\bigg(\\dfrac{4}{3};+\\infty\\bigg)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\bigg(-\\infty;\\dfrac{4}{3}\\bigg)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\bigg(-\\infty;\\dfrac{6}{7}\\bigg)$<\/span>"],"correct":"2","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$3^{x-2}>\\bigg(\\dfrac{1}{9}\\bigg)^{x-1}$<\/span> <\/p><p>⇔ <span class=\"math-tex\">$3^{x-2}>3^{2-2x}$<\/span><\/p><p>⇔ <span class=\"math-tex\">$x-2>2-2x$<\/span><\/p><p>⇔ <span class=\"math-tex\">$3x>4$<\/span><\/p><p>⇔ <span class=\"math-tex\">$x>\u200b\\dfrac{4}{3}\u200b$<\/span><\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> <span class=\"math-tex\">$\\bigg(\\dfrac{4}{3};+\\infty\\bigg)$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 01:18:45","option_type":"math","len":0},{"id":"5440","post_id":"7107","mon_id":"1158924","chapter_id":"1159168","question":"<p>S\u1ed1 nghi\u1ec7m nguyên c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$4^{x-1}\\ge2^{x^2-3x+2}$<\/span> là<\/p>","options":["<strong>A.<\/strong> 4","<strong>B.<\/strong> 1","<strong>C.<\/strong> 0","<strong>D.<\/strong> 3"],"correct":"1","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$4^{x-1}\\ge2^{x^2-3x+2}$<\/span><\/p><p>⇔ <span class=\"math-tex\">$2^{2x-2}\\ge2^{x^2-3x+2}$<\/span><\/p><p>⇔ <span class=\"math-tex\">$2x-2\\ge x^2-3x+2$<\/span><\/p><p>⇔ <span class=\"math-tex\">$x^2-5x+4\\le0$<\/span><\/p><p>⇔ <span class=\"math-tex\">$1\\le x\\le4$<\/span>.<\/p><p>Mà <span class=\"math-tex\">$x\\in Z$<\/span> nên <span class=\"math-tex\">$x\\in\\{1;2;3;4\\}$<\/span>. V\u1eady có 4 nghi\u1ec7m nguyên tho\u1ea3 mãn b\u1ea5t ph\u01b0\u01a1ng trình.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> 4.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 01:26:51","option_type":"txt","len":0},{"id":"5441","post_id":"7107","mon_id":"1158924","chapter_id":"1159168","question":"<p>T\u1eadp h\u1ee3p nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng trình <span class=\"math-tex\">$\\bigg(\\dfrac{1}{5}\\bigg)^{2x-4}>\\bigg(\\dfrac{1}{5}\\bigg)^{-x^2-3x+2}$<\/span> là<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$(-\\infty;-1)$<\/span>∪<span class=\"math-tex\">$(6;+\\infty)$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$(-\\infty;-6)$<\/span>∪<span class=\"math-tex\">$(1;+\\infty)$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$(-1;6)$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$(-6;1)$<\/span>"],"correct":"4","level":"3","hint":"","answer":"<p><span class=\"math-tex\">$\\bigg(\\dfrac{1}{5}\\bigg)^{2x-4}>\\bigg(\\dfrac{1}{5}\\bigg)^{-x^2-3x+2}$<\/span><\/p><p>⇔ <span class=\"math-tex\">$2x-4<-x^2-3x+2$<\/span><\/p><p>⇔ <span class=\"math-tex\">$x^2+5x-6<0$<\/span><\/p><p>⇔ <span class=\"math-tex\">$-6< x<1$<\/span>.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$(-6;1)$<\/span>.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2024-04-07 01:34:56","option_type":"math","len":0}]}
