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Slash836
@Slash836
July 2022
2
2
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Решить неравенства:
7х<56
-8х≤-30
х/5 (дробь)>9
-3(2х+1)>5-2х
-4(3-х)-2(3+х)≥0
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k43ff
Verified answer
1) 7x<56
x<56/7
x<8л
2) -8х≤-30
x≤-30/-8
x≥30/8
x≥15/4
x≥3.75
3) x/5>9
x>5•9
x>45
4) -3(2x+1)>5-2x
-6x-3>5-2x
-6x+2x>5+3
-4x>8
x<8/-4
x<-2
5) -4(3-х)-2(3+х)≥0
-12+4x-6-2x≥0
2x≥12+6
2x≥18
x≥9
4 votes
Thanks 2
Slash836
В 4 примере в первой строчке нужно множить цифры. Будет -6х-3, а не -6х-1
k43ff
спасибо, исправил
Slash836
И во втором примере знаки меняются
sedinalana
Verified answer
7х<56
x<8
x
∈(-∞;8)
-8х≤-30
x
≥3,75
x
∈[3,75;∞)
х/5 >9
x>45
x
∈(45;∞)
-3(2х+1)>5-2х
-6x+2x>5+3
-4x>8
x<-2
x
∈(-∞;-2)
-4(3-х)-2(3+х)≥0
-12+4x-6-2x
≥0
2x≥18
x≥9
x∈[9;∞)
0 votes
Thanks 1
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Answers & Comments
Verified answer
1) 7x<56x<56/7
x<8л
2) -8х≤-30
x≤-30/-8
x≥30/8
x≥15/4
x≥3.75
3) x/5>9
x>5•9
x>45
4) -3(2x+1)>5-2x
-6x-3>5-2x
-6x+2x>5+3
-4x>8
x<8/-4
x<-2
5) -4(3-х)-2(3+х)≥0
-12+4x-6-2x≥0
2x≥12+6
2x≥18
x≥9
Verified answer
7х<56x<8
x∈(-∞;8)
-8х≤-30
x≥3,75
x∈[3,75;∞)
х/5 >9
x>45
x∈(45;∞)
-3(2х+1)>5-2х
-6x+2x>5+3
-4x>8
x<-2
x∈(-∞;-2)
-4(3-х)-2(3+х)≥0
-12+4x-6-2x≥0
2x≥18
x≥9
x∈[9;∞)