Question

Ленейные неравненства.
1: решите неравенство 7х-2≥(х-1)

2: 3(х+1)≤2х-3.
3: 5(х+1)<3х-7.
4: 4х-5>6(х-1).
5:2(х-3)≤4х+2.

Answer 1

7х-2≥(х-1)
7х-2-х+1≥0
6х-1≥0
6х≥1
х≥1/6

2: 3(х+1)≤2х-3.
3х+3-2х+3≤0
х+9≤0
х≤-9

3: 5(х+1)<3х-7.
5х+5-3х+7<0
2х+12  < 0
2х  < -12
х  < -6

4: 4х-5>6(х-1).
4х-5-6Х+6>0
-2х+1>0
-2х>-1
х>1/2

5:2(х-3)≤4х+2.
2х-6-4х-2≤0
-2х-8≤0
-2х≤8
х≤-4