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enjdh
@enjdh
August 2021
1
28
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Решите неравенства с обьяснением.
1. 2(6х-3)+1 ≥ 4х+27
2. 2х-46 ≥ -3(7-2х)-9
3. 110-18х ≥ 3(3-2х)-7
4. 2(х-3)+3>61-14х
5. 2-8х ≤ -2(6х+8)-2
6. 66-10х>6-4(6х-1)
7. 30-14х>6-6(х-8)
8. 3(2х+7)-4>20х+73
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arsenlevadniy
Verified answer
1.
2(6x-3)+1 ≥ 4x+27,
12x-6-4x
≥ 26,
8x ≥ 32,
x ≥ 4;
2.
2x-46 ≥ -3(7-2x)-9,
2x
≥ -21+6x+37,
-4x ≥ 16,
x ≤ -4;
3.
110-18x ≥ 3(3-2x)-7,
-18x
≥ 9-6x-117,
-12x ≥ -108,
x ≤ 9;
4.
2(x-3)+3 > 61-14x,
2x-6+14x > 58,
16x > 64,
x > 4;
5.
2-8x ≤ -2(6x+8)-2,
-8x
≤ -12x-16-4,
4x ≤ -20,
x ≤ -5;
6. 66-10x > 6-4(6x-1),
-10x > -60-24x+4,
14x > -56,
x > -4;
7. 30-14x > 6-6(x-8),
-14x > -24-6x+48,
-8x > 24,
x < -3;
8. 3(2x+7)-4 > 20x+73,
6x+21-20x > 77,
-14x > 56,
x < -4.
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Answers & Comments
Verified answer
1. 2(6x-3)+1 ≥ 4x+27,12x-6-4x ≥ 26,
8x ≥ 32,
x ≥ 4;
2. 2x-46 ≥ -3(7-2x)-9,
2x ≥ -21+6x+37,
-4x ≥ 16,
x ≤ -4;
3. 110-18x ≥ 3(3-2x)-7,
-18x ≥ 9-6x-117,
-12x ≥ -108,
x ≤ 9;
4. 2(x-3)+3 > 61-14x,
2x-6+14x > 58,
16x > 64,
x > 4;
5. 2-8x ≤ -2(6x+8)-2,
-8x ≤ -12x-16-4,
4x ≤ -20,
x ≤ -5;
6. 66-10x > 6-4(6x-1),
-10x > -60-24x+4,
14x > -56,
x > -4;
7. 30-14x > 6-6(x-8),
-14x > -24-6x+48,
-8x > 24,
x < -3;
8. 3(2x+7)-4 > 20x+73,
6x+21-20x > 77,
-14x > 56,
x < -4.