Question

Даю 20 балів, поможіть дуже треба!! №1. Розв'яжіть нерівність і зобразіть множину її розв'язків на координатній прямій: 1) x - 5 <= 6 3) x - 7 >= 12 2) x + 7 > - 9 4) x + 7 < - 5 №2. Розв'яжіть нерівність: 1) 6x > 12 ; 5) 7x <= 13 2) 7x < 42 ; 6) 4x > 1.6 3) - x >= - 8 ; 7) 12x < - 18 ; 4) - 12x <= 24 ; 8) - 9x >= 0

Answer 1

Ответ:

надіюсь допоможе)))))))))))

Answer 2

№1. Розв'яжіть нерівність і зобразіть множину її розв'язків на координатній прямій:

1) x - 5 <= 6 To solve this inequality, we can add 5 to both sides of the inequality: x - 5 + 5 <= 6 + 5 x <= 11

2) x + 7 > -9 To solve this inequality, we can subtract 7 from both sides of the inequality: x + 7 - 7 > -9 - 7 x > -16

3) x + 7 < -5 To solve this inequality, we can subtract 7 from both sides of the inequality: x + 7 - 7 < -5 - 7 x < -12

4) x + 7 <= 9 To solve this inequality, we can subtract 7 from both sides of the inequality: x + 7 - 7 <= 9 - 7 x <= 2

Now, let's represent the solution set on the number line:

<-------------------|-------------------|-------------------|------------------->
        -16              -12              2               11

The solution set for the inequality is (-16, -12) U (-∞, 2] U [11, +∞).

№2. Розв'яжіть нерівність:

1) 6x > 12 To solve this inequality, we can divide both sides of the inequality by 6: (6x) / 6 > 12 / 6 x > 2

2) 7x <= 13 To solve this inequality, we can divide both sides of the inequality by 7: (7x) / 7 <= 13 / 7 x <= 13/7

3) 7x < 42 To solve this inequality, we can divide both sides of the inequality by 7: (7x) / 7 < 42 / 7 x < 6

4) 4x > 1.6 To solve this inequality, we can divide both sides of the inequality by 4: (4x) / 4 > 1.6 / 4 x > 0.4

5) -x >= -8 To solve this inequality, we can divide both sides of the inequality by -1. Remember that when we divide or multiply an inequality by a negative number, we need to reverse the inequality sign: (-x) / -1 <= (-8) / -1 x <= 8

6) 12x <= -18 To solve this inequality, we can divide both sides of the inequality by 12: (12x) / 12 <= (-18) / 12 x <= -3/2

7) -12x <= 24 To solve this inequality, we can divide both sides of the inequality by -12. Remember to reverse the inequality sign: (-12x) / -12 >= 24 / -12 x >= -2

8) -9x >= 0 To solve this inequality, we can divide both sides of the inequality by -9. Remember to reverse the inequality sign: (-9x) / -9 <= 0 / -9 x <= 0

The solutions to the inequalities are: 1) x > 2 2) x <= 13/7 3) x < 6 4) x > 0.4 5) x <= 8 6) x <= -3/2 7) x >= -2 8) x <= 0

Please note that the solutions may overlap, and the final solution will be the intersection of all the individual solutions.