Answer:
See attached
Explanation:
You want the solution to the inequality -12x < -48 shown on a number line.
Solution
The solution to the inequality is found by dividing by the x-coefficient
-12x < -48
x > 4 . . . . . . . divide by -12
When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.
Graph
The value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.
The graph of the solution is shown in the attachment.
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Additional comment
Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...
48 < 12x
Now, you can divide by 12 without worrying about the inequality symbol:
4 < x . . . . . same as above