Answer:
A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.
Step-by-step explanation:
The given compound inequality is
\(x-3<-9\) or \(x+5\geq 10\)
We need to find the description of the graph of the compound inequality.
Solve each inequality.
\(x-3<-9\)
Add 3 on both sides.
\(x-3+3<-9+3\)
\(x<-6\)
The value of x is less that -6. Since -6 is not included in the solution set, therefore there is an open bracket at -6.
\(x+5\geq 10\)
Subtract 5 from both sides.
\(x+5-5\geq 10-5\)
\(x\geq 5\)
The value of x is greater than of equal to 5. Since 5 is included in the solution set, therefore there is a closed bracket at 5.
The solution of given compound inequality.
\((-\infty,-6)\cup [5,\infty)\)
A number line with an open circle on -6, shading to the left, and a closed circle on 5, shading to the right.
