|-30|×2-|-15|×|-4| және , номер 14

1.
а) 17 + x > 37
x > 37 - 17
x > 20

б) 5 - x ≤ 1
-x ≤ 1 - 5
-x ≤ -4
x  ≥ 4

в) 6,2 + x ≥ 10
x ≥ 10 - 6,2
x ≥ 3,8

г) 0,6 - 2x < 0
-2x < -0,6
x > 0,3

2.
а) 1 + 6x < 7
6x < 6
x < 1

б) 6x + 1 > 0
6x > -1
x > -1/6

в) 3 - 2x ≤ 8
-2x ≤ 5
x ≥ -2,5

г) 6 - 15x ≥ 0
-15x ≥ -6
x ≤ 6/15
x ≤ 2/5

3.

а) 4 + x < 1 - 2x
x + 2x < 1 - 4
3x < -3
x < -1

б) 2 + 6x > 5 + 7x
6x - 7x > 3
-x > 3
x < -3

в) 4x + 7 ≤ 6x + 1
4x - 6x ≤ -6
x ≥ 3

г) 9x ≥ 4x + 2
5x ≥ 2
x ≥ 0,4

4.
a) 4(1+x) > x - 2
4 + 4x > x - 2
3x > -6
x > -2

б) -(2x - 1) ≤ 3(x + 2)
-2x + 1 ≤ 3x + 6
-5x ≤ 5
x ≥ -1

в) 6(2x - 1) - (2 + x) < 0
12x - 6 - 2 - x < 0
11x < 8
x < 8/11

г)   4(1 - x) + 5(x + 8) ≥ 0
4 - 4x + 5x + 40 ≥ 0
x ≥ -44

1) 3(а-1)²+8а=3(а²-2а+1)+8а=3а²-6а+3+8а=3а²+2а+3
2) 9с²-4+6(с-2)²=9с²-4+6(с²-4с+4)=9с²-4+6с²-24с+24=15с²-24с+20
3) 10аb-4(2a-b)²+6b²=10ab-4(4a²-4ab+b²)+6b²=10ab-16a²+16ab-4b²+6b²=-16a²+26ab+2b²
4) 5(3a+7)²=5(9a²+42a+49)=45a²+220a+245
5) (3a-1)(3a+1)-17a²=9a²-1-17a²=-8a²-1
6) 5a(a-b)-3(a+2)(a-2)=5a²-5ab-3(a²-4)=5a²-5ab-3a²+12=2a²-5ab+12
7) 8m(1+2m)-(4m+3)(4m-3)=8m+16m²-(16m²-9)=8m+16m²+16m²+9=32m²+8m+9
8) (6x-1)(6x+1)-4x(9x+2)=36x²-1-36x²-8x=8x-1
9) 9y²-(1+2y)²=9y²-(1+4y+4y²)=9y²-1-4y-4y²=5y²-4y-1
10) (4-11m)²-1=16-88m+121m²-1=121m²-88m+15