which number line represent the solution set for the inequality 3(8-4x)<6(x-5)

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Grade: Education Subject: mathematics
which number line represent the solution set for the inequality 3(8-4x)<6(x-5)
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Eliminating parentheses, you have
  24 -12x < 6x -30
Adding 30 +12x, you have
  54 < 18x
Dividing by 18 gives
  3 < x

The appropriate number line is the one that shows the solution set as all values of x that are greater than 3.