The inequality can be simplified to 3 < x, and the number line that graphs the solution set is the second one.
Which number line represents the solution set for the inequality?
Here we have the inequality:
3*(8 - 4x) < 6*(x - 5).
First, we should simplify the inequality, this means that we need to isolate x on one side.
3*8 - 3*4*x < 6*x - 6*5
24 - 12x < 6x - 30
24 + 30 < 6x + 12x
54 < 18x
54/18 < x
3 < x
So the solution set is the set of all numbers strictly larger than 3.
The graph of this will be an open circle at 3, and an arrow that extends to the right.
Then the correct number line is the second one (counting from the top).
If you want to learn more about inequalities:
https://brainly.com/question/18881247
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