Question

13) 6-0,6x<1,4x 12) 3x - 4 < 8x + 611) 5x - 3<3x - 710) X-5<X9) 9- 4x > 258) -3x>-97) -2x>46) x< 15 - 2x5) 5x - 15<04) 3x +6 > 03) 2 + 5x < 02) X-4>01х≤5​

Answer 1

Ответ:

их типо решить надо? Если да то вот:

13) 6-0,6x<1,4x

-0,6x-1,4x<-6

-2x<-6

x>-6:(-2)

x>3

12)3x-4<8x+6

3x-8x<4+6

-5x<10

x>10:(-5)

x>-2

11)5x-3<3x-7

5x-3x<3-7

2x<-4

x<-4:2

x<-2

10)x-5<x

x-x<5

0x<5

x<5:0

Нельзя делить на 0

9)9-4x>25

-4x>25-9

-4x>16

x<16:(-4)

x<-4

8)-3x>-9

x<-9:(-3)

x<3

7)-2x>4

x<4:(-2)

x<-2

6)x<15-2x

x+2x<15

3x<15

x<15:3

x<5

5)5x-15<0

5x<15

x<15:5

x<3

4)3x+6>0

3x>-6

x>-6:3

x>-2

3)2+5x<0

5x<2

x<2:5

x<0,4

2)x-4>0

x>4

Уф,надеюсь помогла ="^

Answer 2

Let's solve each of these inequalities step by step:

13. 6 - 6x < 1 - 4x

First, let's simplify the equation by moving like terms to one side:

6 - 1 < 6x - 4x

5 < 2x

Now, divide both sides by 2:

5/2 < x

So, the solution is x > 5/2.

12. 3x - 4 < 8x + 6

First, let's simplify the equation by moving like terms to one side:

3x - 8x < 6 + 4

-5x < 10

Now, divide both sides by -5. Remember to reverse the inequality because you're dividing by a negative number:

x > -2

So, the solution is x > -2.

11. 5x - 3 < 3x - 7

First, let's simplify the equation by moving like terms to one side:

5x - 3x < -7 + 3

2x < -4

Now, divide both sides by 2:

x < -2

So, the solution is x < -2.

10. x - 5 < x

This inequality is always true because you can subtract x from both sides and get:

-5 < 0

Since -5 is always less than 0, the solution is all real numbers, or in interval notation: (-∞, ∞).

9. 9 - 4x > 25

First, let's simplify the equation by moving like terms to one side:

9 - 25 > 4x

-16 > 4x

Now, divide both sides by 4:

-16/4 > x

-4 > x

So, the solution is x < -4.

8. -3x > -9

Divide both sides by -3. Remember to reverse the inequality because you're dividing by a negative number:

x < 3

So, the solution is x < 3.

7. -2x > 4

Divide both sides by -2. Remember to reverse the inequality because you're dividing by a negative number:

x < -2

So, the solution is x < -2.

6. x < 15 - 2x

Add 2x to both sides:

3x < 15

Now, divide both sides by 3:

x < 5

So, the solution is x < 5.

5. 5x - 15 < 0

Add 15 to both sides:

5x < 15

Now, divide both sides by 5:

x < 3

So, the solution is x < 3.

4. 3x + 6 > 0

Subtract 6 from both sides:

3x > -6

Now, divide both sides by 3:

x > -2

So, the solution is x > -2.

3. 2 + 5x < 0

Subtract 2 from both sides:

5x < -2

Now, divide both sides by 5:

x < -2/5

So, the solution is x < -2/5.

2. x - 4 > 0

Add 4 to both sides:

x > 4

So, the solution is x > 4.

1. x ≤ 5

This inequality is already in the correct form. The solution is x ≤ 5.

I hope this helps!