Which number line represents the solution set for the inequality 3 (8-4x) < 6 (x - 5) ?

5

-3

-2

-1

0

1

2

3

4

5

+

-5

+

+

-3

-2

+

-1

+

0

+

1

+

2

3

4

+ at

-5

-3

+

-2

+

-1

+

0

+

1

+

2

+

3

+

4

+

5

>

4

-3

-2

-1

0

1

2

3

4

5

x>3

Step-by-step explanation:

We are given with the inequation 3 (8-4x) < 6 (x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x) <2 (x-5)

Distributing 2 over (x-5)

(8-4x) <2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3
Hence the solution to the given in equation is x>3