Пошаговое о1) 2(3x + 1) - x ≤ 3(x + 4), 2) 7x + 4(x - 2) > 6(1 + 3x),
6х + 2 - х ≤ 3х + 12, 7х + 4х - 8 > 6 + 18x,
5х + 2 ≤ 3х + 12, 11x - 8 > 6 + 18x,
5х - 3х ≤ 12 - 2, 11x - 18x > 6 + 8,
2х ≤ 10, -7x > 14,
х ≤ 5, x < - 2,
х ∈ (-∞; 5]; x ∈ (-∞; -2);
3) 2(x - 1) - 3(x + 2) < 6(1 + x), 4) 7(y + 3) - 2(y + 2) ≥ 2(5y + 1),
2x - 2 - 3x - 6 < 6 + 6x, 7y + 21 - 2y - 4 ≥ 10y + 2,
-x - 8 < 6 + 6x, 5y + 17 ≥ 10y + 2,
-x - 6x < 6 + 8, 5y - 10y ≥ 2 - 17,
-7x < 14, -5y ≥ -15,
x > -2, y ≤ 3,
x ∈ (-2; +∞); y ∈ (-∞; 3]. бъяснение:
Пошаговое о1) 2(3x + 1) - x ≤ 3(x + 4), 2) 7x + 4(x - 2) > 6(1 + 3x),
6х + 2 - х ≤ 3х + 12, 7х + 4х - 8 > 6 + 18x,
5х + 2 ≤ 3х + 12, 11x - 8 > 6 + 18x,
5х - 3х ≤ 12 - 2, 11x - 18x > 6 + 8,
2х ≤ 10, -7x > 14,
х ≤ 5, x < - 2,
х ∈ (-∞; 5]; x ∈ (-∞; -2);
3) 2(x - 1) - 3(x + 2) < 6(1 + x), 4) 7(y + 3) - 2(y + 2) ≥ 2(5y + 1),
2x - 2 - 3x - 6 < 6 + 6x, 7y + 21 - 2y - 4 ≥ 10y + 2,
-x - 8 < 6 + 6x, 5y + 17 ≥ 10y + 2,
-x - 6x < 6 + 8, 5y - 10y ≥ 2 - 17,
-7x < 14, -5y ≥ -15,
x > -2, y ≤ 3,
x ∈ (-2; +∞); y ∈ (-∞; 3]. бъяснение:
2. 9m-8=6m+7; 9m-6m=8+7; 3m=15; m=15/3=5;
3. 6x+10=5x+15; 6x-5x=15-10; x=5;
4. 16m-5=15m-10; 16m-15m=5-10; m=-5;
5. 8-5n=10-4n; 4n-5n=10-8; -n=2; n=-2;
6. 18=3y+3; 18-3=3y; 15=3y; y=15/3=5;
7. 40-12x=20-11x; 40-20=12x-11x; x=20;
8. -5n-16=3n; 3n+5n=-16; 8n=-16; n=-16/8=-2;
9. 25=5y-5; 5y=25+5; 5y=30; y=30/5=6;
10. 25-9y=5y+11; 25-11=5y+9y; 14=14y; y=14/14=1;
11. 63-8n=n; 63=n+8n; 9n=63; n=63/9=9;
12. 28-9m=-8-10m; 28+8=9m-10m; 36=-m; m=-36;
13. 4y+7=5y+4; 4y-5y=4-7; -y=-3; y=3;
14. 56-9n=-5n; 56=9n-5n; 56=4n; n=56/4=14