Solve the inequality and write the solution set in interval

vousetmoiec

vousetmoiec

Answered question

2021-12-03

Solve the inequality and write the solution set in interval notation.
2|6-m|-3<7

Answer & Explanation

Louise Eldridge

Louise Eldridge

Beginner2021-12-04Added 17 answers

Step 1
Consider the given inequality
2|6-m|-3<7
Add 3 to each side
2|6-m|-3+3<7+3
2|6-m|<10
Divide both sides by 2
2|6m|2<102
|6-m|<5
Step 2
Absolute rule
if |x|<a then
-a<x<a
So,
-5<(6-m)<5
-11<-m<-1
1<m<11
Hence, solution is (1, 11)

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