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Since the word between the inequalities is or,
we are looking for the union of the solution sets to the individual inequalities.
Solution Set: v≤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-9≤RHS-9
Subtract terms
.LHS /4.≤.RHS /4.
a* b/c=a/c* b
Put minus sign in front of fraction
a/a=1
Identity Property of Multiplication
Note that the point on -1 is closed because it is included in the solution set.
Divide by -3 and flip inequality sign
- a/- b=a/b
a* b/c=a/c* b
a/a=1
Identity Property of Multiplication
Calculate quotient
Note that the point on 2 is closed because it is included in the solution set.
The solution to the compound inequality is the combination of the solution sets. First Solution Set:& v≤ -1 Second Solution Set:& v≤2 Combined Solution Set:& v≤2 Finally, we will graph the solution set to the compound inequality. The union of these solution sets is v ≤ 2.