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

Question

asked Oct 14, 2024 190k views

1 Answer

Akash KC · Answer 1 · 2024-10-20T05:43:10+0000

Split the inequality into two cases and solve for v.

The solution will be -6.

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.