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илюшаплюша
@илюшаплюша
June 2021
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Решите систему неравенств ( 1066 , 1067 ) .....................
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tamarabernukho
Verified answer
1)
{(0.6x+6)/3-(0.2x+1)/2>1
{(4-3x)/2>5
2(0.6x+6)-3(0.2x+1)>6
4-3x>10
1.2x+12-0.6x-3-6>0
3x<-6
0.6x>-3
x<-2
x>-5
x<-2
ответ x∈(-5;-2)
2)
{(0.8x-1)/5-x/2≤0.48
{(x-5)/3-1≤x/6
1.6x-2-5x≤4.8
2x-10-6≤x
-3.4x≤6.8
x≤16
x≥-2
x≤16
ответ x∈[-2;16]
3)
{(0.2x-1)/7-0.3x/2≤0.1
{(x+1)/3-1≤x/4
0.4x-2-2.1x≤1.4
4x+4-12≤3x
-1.7x≤3.4
x≤8
x≥-2
x≤8
ответ x∈[-2;8]
4)
{(1.4-x)/5-0.6x/3<2.2
{(2x-1)/7-1>x/3
4.2-3x-3x<33
6x-3-21>7x
-6x<28.8
x<-24
x>-4.8
x<-24
ответ: ∅
21 votes
Thanks 53
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Answers & Comments
Verified answer
1){(0.6x+6)/3-(0.2x+1)/2>1
{(4-3x)/2>5
2(0.6x+6)-3(0.2x+1)>6
4-3x>10
1.2x+12-0.6x-3-6>0
3x<-6
0.6x>-3
x<-2
x>-5
x<-2
ответ x∈(-5;-2)
2)
{(0.8x-1)/5-x/2≤0.48
{(x-5)/3-1≤x/6
1.6x-2-5x≤4.8
2x-10-6≤x
-3.4x≤6.8
x≤16
x≥-2
x≤16
ответ x∈[-2;16]
3)
{(0.2x-1)/7-0.3x/2≤0.1
{(x+1)/3-1≤x/4
0.4x-2-2.1x≤1.4
4x+4-12≤3x
-1.7x≤3.4
x≤8
x≥-2
x≤8
ответ x∈[-2;8]
4)
{(1.4-x)/5-0.6x/3<2.2
{(2x-1)/7-1>x/3
4.2-3x-3x<33
6x-3-21>7x
-6x<28.8
x<-24
x>-4.8
x<-24
ответ: ∅