10) The compound inequality is expressed as
12 + 4n > 44 or 10 - 12n > - 38
We would solve the compound inequality. Thus, we have
4n > 44 - 12 or - 12n > - 38 - 10
4n > 36 or - 12n > - 48
4n/4 > 36/4 or - 12n/- 12 > - 48/- 12
Since the second inequality is being divided by a negative number, the inequality symbol would be reversed. Thus, we have
n > 9 or n < 4
We would plot these inequalities on the number line as shown below
The circles are not shaded because 4 and 9 are not included in the values of x.
