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20 July, 12:08

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

-5

-3

-2

-1

1

2

3

O

4

5

+

+

4

-3

-2

-1

0

1

2

4

5

+

w + W0

+

at at at

+

fr

-3

-2

-1

o

1

2

3

4

5

+

-3

-2

-1

ó

1

2 3

4

5

+3
Answers (1)
  1. 20 July, 13:22
    0
    3 < x

    Step-by-step explanation:

    3 (8 - 4x) < 6 (x - 5) ?

    Distribute

    24 - 12x< 6x - 30

    Add 12x to each side

    24-12x+12x < 6x+12x-30

    24 < 18x-30

    Add 30 to each side

    24+30 < 18x-30+30

    54 < 18x

    Divide each side by 18

    54/18 < 18x/18

    3 < x
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