Question

Решить неравенства:
7х<56
-8х≤-30
х/5 (дробь)>9
-3(2х+1)>5-2х
-4(3-х)-2(3+х)≥0

Answer 1

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

Answer 2

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;∞)