How Do You Solve an OR Compound Inequality and Graph It On a Number Line?

We want to solve for 's', our variable, in each inequality
The addition property of inequalities allows us to add '9' to both sides so that 's' becomes isolated
The subtraction property of inequalities allows us to subtract '2' from both sides so that 's' becomes isolated
We want our solution in set-builder notation

1. We want to break the compound inequality into two
1. When solving an inequality, the goal is to isolate the variable
2. Here, 's' is a variable representing a number
3. Use the addition property of equality to add '9' to both sides
4. The nines cancel out on the left, leaving us with 's' by itself
5. -18+9 = -9
1. When solving an inequality, the goal is to isolate the variable
2. Here, 's' is a variable representing a number
3. Using the subtraction property of inequalities, subtract '2' from both sides to isolate our variable 's'
4. The twos cancel out on the left, leaving us with 's' by itself
5. 6-2 = 4
1. We solved for 's' in two separate inequalities
1. In set-builder notation, this should look like:
2. {s| s<-9 OR s≥4}
1. Our solution is:
2. {s| s<-9 OR s≥4}
1. Our solution is:
2. {s| s<-9 OR s≥4}

Solve the compound inequality 's-9 < -18 OR s+2 ≥ 6'