Question

-3-5х>х+3 -9-6x>9x+96-7x>3x-7-3-x>4x+7​

Answer 1

Пошаговое объяснение:

1)-6х>6

х<(-1)

(от минус бесконечности до -1)

2)-15х>18

х<-1,2

(от минус бесконечности до -1,2)

3)-5х>10

х<-2

(от бесконечности до -2)

Answer 2

To solve this system of inequalities, we'll address each inequality one by one and find the solution for each. Let's start:

1. -3 - 5x > x + 3

First, let's simplify it by isolating x on one side of the inequality:

-3 - 5x > x + 3

Add 5x to both sides:

-3 > x + 3 + 5x

Now, subtract 3 from both sides:

-3 - 3 > x + 5x

-6 > 6x

To isolate x, divide both sides by 6. Remember to reverse the inequality because you're dividing by a negative number:

-6/6 < x

-1 < x

So the solution to the first inequality is x > -1.

2. -9 - 6x > 9x + 96

First, simplify:

-9 - 6x > 9x + 96

Add 6x to both sides:

-9 > 9x + 6x + 96

Now, subtract 96 from both sides:

-9 - 96 > 9x + 6x

-105 > 15x

To isolate x, divide both sides by 15:

-105 / 15 > x

-7 > x

So the solution to the second inequality is x < -7.

3. -7 - 3x > 3x - 7

First, simplify:

-7 - 3x > 3x - 7

Add 3x to both sides:

-7 > 3x + 3x - 7

Now, subtract 7 from both sides:

-7 - 7 > 3x + 3x

-14 > 6x

To isolate x, divide both sides by 6:

-14 / 6 > x

-7/3 > x

So the solution to the third inequality is x < -7/3.

4. -x > 4x + 7

First, simplify:

-x > 4x + 7

Add x to both sides:

0 > 4x + x + 7

Now, subtract 7 from both sides:

-7 > 5x

To isolate x, divide both sides by 5:

-7 / 5 > x

So the solution to the fourth inequality is x < -7/5.

Now, let's consider the intersection of these solutions:

-1 < x x < -7 x < -7/3 x < -7/5

The overall solution for this system of inequalities is x < -7/5 because it's the most restrictive condition that satisfies all four inequalities simultaneously.