Question

СРОЧНО!!! НУЖНА ВАША ДОПОМОГА розв'язати рівняння1) -5х>10 2) 3х+2≥-8х3) 6х-2(х+7)-2<7-3х​

Answer 1

Ответ:

1)-5x>10

-5x:(-5)<10:(-5)

x<10:(-5)

x<-10:5

x<-2

2)

$3x + 2 \geqslant - 8x$

$3x \geqslant - 8x - 2$

$3x + 8x \geqslant - 2$

$11x \geqslant - 2$

|:2

$x \geqslant - \frac{2}{11}$

3)6x-2(x+7)-2<7-3x

6x-2x-14-2<7-3x

4x-14-2<7-3x

4x-16<7-3x

4x-16+3x<7

4x+3x<7+16

7x<7+16

7x<23|:7

$x < \frac{23}{7}$

Answer 2

1) -5x > 10 To solve this inequality, we need to isolate x. First, we can divide both sides of the inequality by -5, but since we are dividing by a negative number, the inequality sign will flip: x < -2

2) 3x + 2 ≥ -8x To solve this inequality, we need to isolate x. First, we can add 8x to both sides of the inequality: 3x + 8x + 2 ≥ 0 11x + 2 ≥ 0 Next, we can subtract 2 from both sides of the inequality: 11x ≥ -2 Finally, divide both sides of the inequality by 11: x ≥ -2/11

3) 6x - 2(x + 7) - 2 < 7 - 3x To solve this equation, we need to simplify both sides and isolate x. Let's start by simplifying the left side of the equation: 6x - 2x - 14 - 2 < 7 - 3x 4x - 16 < 7 - 3x Next, let's combine like terms on both sides of the equation: 7x - 16 < 7 Now, let's isolate x by adding 16 to both sides of the equation: 7x < 23 Finally, divide both sides of the equation by 7: x < 23/7

So, the solutions to the given inequalities are: 1) x < -2 2) x ≥ -2/11 3) x < 23/7