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Solve linear absolute value inequality (SHOW WORK TO RECEIVE CREDIT!) |v+5|-6<-5

User SweSnow
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1 Answer

5 votes

Final answer:

Split the inequality into two cases and solve for v.

The solution will be -6.

Step-by-step explanation:

To solve the linear absolute value inequality |v+5|-6<-5, we can start by adding 6 to both sides of the inequality:

|v+5|-6+6<-5+6

|v+5|<1

Next, we can split the inequality into two cases:

Case 1: v+5<1

v<-4

Case 2: v+5>-1

v>-6

Therefore, the solution to the inequality is -6.

User Akash KC
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8.8k points