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?

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