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Sagot :
An inequality that represents Alicia’s possible age is x < 8.
For given question,
let x represent Alicia's age.
Amy is eight years older than twice her cousin Alicia’s age.
So, Amy's age would be 2x + 8
The sum of their ages is less than 32.
We write above statement in mathematical expression.
sum of their ages = (2x + 8) + x
= 3x + 8
The sum of their ages is less than 32.
We use the symbol < for 'less than'
So, the mathematical expression form of given statement would be,
(3x + 8) < 32
So, we get an inequality 3x + 8 < 32
⇒ 3x < 32 - 8
⇒ 3x < 24
⇒ x < 24/3
⇒ x < 8
Therefore, an inequality that represents Alicia’s possible age is x < 8.
Learn more about an inequality here:
https://brainly.com/question/19003099
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