Sign In
Since the word between the inequalities is or,
we are looking for the union of the solution sets to the individual inequalities.
Solution Set: d<-8 or d>-1/2
Graph:
To solve the compound inequality, we have to solve each of the inequalities separately. Since the word between the individual inequalities is or,
the solution set for the compound inequality is the union of the individual solutions.
LHS-7
Subtract terms
.LHS /2.<.RHS /2.
a* b/c=a/c* b
a/a=1
Identity Property of Multiplication
Put minus sign in front of fraction
Calculate quotient
Note that the point on -8 is open because it is not included in the solution set.
LHS+1>RHS+1
Add terms
.LHS /4.>.RHS /4.
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 - 12 is open because it is not included in the solution set.
The solution to the compound inequality is the combination of the solution sets. First Solution Set:& d< -8 Second Solution Set:& d>- 12 Combined Solution Set:& d<-8ord>- 12 Finally, we will graph the solution set to the compound inequality.