Question

Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age. Which inequality represents Alicia’s possible age?


0<x≤80<x<240<x≤240<x<8 

Answer 1

ok, so amy is 8 years older than twice alica's age
if amy=y and alica=x
y=8+2x

and sum is less than 32
y+x<32

we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8


the inequality is x<8

Answer 2

The inequality that represents Alicia’s possible age is x<8.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Lets Assume that the age of Alicia is x and that of Amy is y.

Twice the age of Alicia = 27

Eight years older means we will add 8

Therefore, the statement "Amy is eight years older than twice her cousin Alicia’s age" can be represented as:

y = 8 + 2x (equation)

The sum of their ages is less than 32 can be represented by;

x + y < 32 which can also be written as y < 32-x (inequality)

Now, we can subsitute 8+2x for y in other equation

8+2x+x<32

8+3x<32

3x<24

Now, divide both sides by 3

x<8

Therefore, the inequality is x<8.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ6