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Split the compound inequality into two separate inequalities.
Solution Set: -3< k<-1/3
Graph:
Let's solve the inequalities separately.
LHS-2
Subtract terms
.LHS /6.<.RHS /6.
Put minus sign in front of fraction
Calculate quotient
a* b/c=a/c* b
a/a=1
Identity Property of Multiplication
Note that the point on -3 is open because it is not included in the solution set.
LHS-2
Subtract terms
.LHS /6.<.RHS /6.
a* b/c=a/c* b
a/a=1
Identity Property of Multiplication
Put minus sign in front of fraction
a/b=.a /2./.b /2.
Calculate quotient
Note that the point on - 13 is open because it is not included in the solution set.
The solution to the compound inequality is the intersection of the solution sets. First Solution Set: -3< k& Second Solution Set: k&< - 13 Intersecting Solution Set: -3< k & < - 13 Finally, we will graph the solution set to the compound inequality on a number line.