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Автор - mashaglazunova

решите двойное неравенство и укажите два каких-нибудь числа, являющихся его решением
1) 0≤3x≤9 2) -4<-2x<2
3)-3 4) -4<2x-1≤2 5)-6<5x-1<5
6)0<4x+3<1 7)-2<6x+7<1

Ответ

Автор - dmdm15
1)0≤3x≤9 |: 3 = 0≤x≤3 ; x=1;2
2)-4<-2x<2   |: -2 = -1<x<2 ; x=0;1
3)
-3<x+2≤-1 |- 2 = -5<x<-3; x = -15/4;-4.
4)-4<2x-1
≤2 |: 2 = -2<x-1/2≤1 |+ 1/2 = -3/2<x≤3/2 ; x=0;1
5)-6<5x-1<5 |: 5 = -6/5<x-1/5<1 |+ 1/5 = -1<x<6/5 ; x=0;1
6)0<4x+3<1 |: 4 = 0<x+3/4<1/4 |- 3/4 = -3/2<x<-1/2 ; x=-3/16;0
7)-2<6x+7<1 |: 6 = -1/3<x+7/6<1/6  |- 7/6 = -3/2<x<-1 ; x=-3/21;0

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