Question

Choose the inequality that Caroline's hair is

7 inches long and grows about 1/5 inch each month. Trinity's hair is 10 inches long and
grows about 1/10 inch each month. How many months will it take for Caroline's hair to be
at least as long as Trinity's hair?*

Answer 1

7 +1/5x ≥ 10 +1/10x . . . . . lower left picture of those shown here

Explanation:

Caroline's hair length in inches can be expressed as ...

c = 7 + 1/5x . . . . after x months

Trinity's hair length in inches can be expressed as ...

t = 10 + 1/10x . . . . after x months

When Caroline's hair is at least as long as Trinity's, we have ...

`c\ge t\\\\\boxed{7+(1)/(5)x\ge 10+(1)/(10)x}`