不等式4Ⅹ-5＜3的解集
\u4e0d\u7b49\u5f0f|x+3|\u30095\u7684\u89e3\u96c6|x+3|\u30095
\u8bf4\u660e
x+3>5 \u6216\u8005 x+3<-5
\u6240\u4ee5 x>2 \u6216\u8005x<-8
\u867d\u7136\u6709\u79cd\u88ab\u8c03\u620f\u7684\u611f\u89c9 \u8fd8\u662f\u5e2e\u4f60\u89e3\u4e86
4Ⅹ-5＜3
4Ⅹ＜3+5
4Ⅹ＜8
Ⅹ＜8/4
Ⅹ＜2
4X<8
X<2
绛旓細|ax+1|<4 =>-4<ax+1<4 =>-5<ax<3 =>-5/a<x<3/a锛堝綋a>0鏃讹級鎴3/a<x<-5/a锛堝綋a<0鏃讹級鐢变簬-3锛渪锛5锛岃嫢a>0,鍒-5/a=-3涓3/a=5锛屾樉鐒朵笉鍙兘 鍥犳a蹇呯劧灏忎簬0锛屾墍浠=-1
绛旓細5x-3<5x+5 0x<8 x涓轰换鎰忓疄鏁 x<a 瑙ｉ泦涓x<4 鍥犳a=4
绛旓細-5<x-3<5 -5+3<x<5+3 鍗 -2<x<8
绛旓細瑙ｏ細鍒嗗埆濡備笅鍥撅細
绛旓細3-2x<3 (1)3-2x>-3(2)鐢憋紙1锛夊緱锛2x>0 x>0 鐢憋紙2锛夊緱锛2x<6 x<3 鍚堝苟寰楋細0<x<3
绛旓細鈭祙x-2|锛3锛屸埓-3锛渪-2锛3锛-1锛x锛5锛屾晠涓嶇瓑寮|x-2|锛3鐨勮В闆涓 锛-1锛5锛夛紟鐢眡2-4x-5锛0鍙緱 锛坸+1锛夛紙x-5锛夛紲0锛-1锛渪锛5锛屾晠涓嶇瓑寮弜2-4x-5锛0 鐨勮В闆嗕负 锛-1锛5锛夛紟鐢眡+1x?5鈮0 鍙緱 锛坸+1锛夛紙x-5锛夆墹0锛寈-5鈮0锛岃В寰-1鈮锛5锛屾晠x+1x?5鈮0鐨...
绛旓細-4<(3x-1)<4,,,-3<(3x)<5,,,-1<x<(5/3)
绛旓細2涓鈪涓ㄢ墹6 瑙ｏ細涓ㄢ叐涓ㄢ墹3 鎵浠-3鈮X鈮3 瑙ｆ瀽锛氳В涓鍏冧竴娆涓嶇瓑寮姝ラ锛1銆佸幓鍒嗘瘝 2銆佸幓鎷彿 3銆佺Щ椤 4銆佸悎骞跺悓绫婚」 5銆佺郴鏁板寲涓1 鍙﹀锛屾湁缁濆鍊肩殑涓嶇瓑寮忥細1銆佷辅鈪╀辅<0锛屾棤瑙 2銆佷辅鈪╀辅=0锛瑙ｉ泦涓篨=0 2銆佷辅鈪╀辅鈮ゆ鏁癮锛屽垯瑙ｉ泦涓-a鈮や辅鈪╀辅鈮 ...
绛旓細|X+3|-|X-4|<5,鈶犲綋X<-3鏃讹紝涓嶇瓑寮忓寲涓猴細-(X+3)+(X-4)<5锛-7<5锛屾亽鎴愮珛锛屽緱锛歑<-3锛涒憽褰-3鈮鈮4鏃讹紝涓嶇瓑寮忓寲涓猴細(X+3)+(X-4)<5锛2X<6锛X<3锛屽緱-3鈮<3锛涒憿褰揦>4鏃讹紝涓嶇瓑寮忓寲涓猴細(X+3)-(X-4)<5锛2X<-2锛孹<-1锛屽緱锛氭棤瑙ｏ紝缁间笂鎵杩帮紝鍘涓嶇瓑寮忕殑瑙...
绛旓細2x-3鈮5锛x-3锛夛紝鍘绘嫭鍙峰緱锛2x-3鈮5x-15锛岀Щ椤瑰緱锛2x-5x鈮-15+3锛屽悎骞跺悓绫婚」寰楋細-3x鈮-12锛屼笉绛夊紡鐨勪袱杈归兘闄や互-3寰楋細x鈮4锛屸埓涓嶇瓑寮忕殑瑙ｉ泦鏄痻鈮4锛庢晠閫堿锛
