Решить неравенства: 1. 7х < 42;
2. – 9х ≤ 24;
3. − х/4 < 6;
4. – 2х + 1 ≤ 3(х + 2);
5. 4(1 – х) + 5(8 + х) ≥ 0.

1. 7x < 42

x < 42 : 7

x < 6

2. -9x ≤ 24

-9x ≤ 24    | * -1

9x ≥ -24

x ≥ -24 : 9

x ≥  -2 2/3

3. -x/4 < 6

-x/4 < 6   | * - 1

x/4 > -6

x > -6 * 4

x > -24

4. -2x + 1 ≤ 3(x + 2)

-2x + 1 ≤ 3x + 6

-2x - 3x ≤ 6 -1

-5x ≤ 5    | * -1

5x ≥ -5

x ≥ -5 : 5

x ≥ -1

5. 4(1 - x) + 5(8 + x) ≥ 0

4 - 4x + 40 + 5x ≥ 0

x ≥ -44