Answer :
An absolute value inequality that models this situation: [tex]|x-120|\leq 4[/tex]
The required compound inequality representing all possible weights for Mr. Bean.: [tex]116\leq x\leq 124[/tex]
Given: For the last 20 years,
Mr. Bean has weighed 120 pounds, give or take 4 pounds.
To write: a) An absolute value inequality that models this situation.
b) a compound inequality representing all possible weights for Mr. Bean.
Computation:
Let x be the actual weight of Mr. Bean,
then
Required absolute inequality:[tex]|x-120|\leq 4[/tex]
It can be written as
[tex]-4 \leq x-120\leq 4[/tex]
Add 120 on all sides , we get
[tex]120-4\leq x\leq120+4[/tex]
[tex]116\leq x\leq 124[/tex]
The required compound inequality representing all possible weights for Mr. Bean.: [tex]116\leq x\leq 124[/tex]
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