Question

Claire is 2 year younger than her sister. The

Answer 1

Given:

Claire is 2 year younger than her sister.

The  sum of ages is no less than 44 years.

To find:

Inequality and find the youngest age Claire can  be.

Solution:

Let the age of Claire be x.

Her sister's age = x+2

Sum of their ages is no less than 44 years. It means the sum ages is greater than or equal to 44.

$x+(x+2)\geq 44$

$2x+2\geq 44$

$2x\geq 44-2$

$2x\geq 42$

Divide both sides by 2.

$x\geq 21$

It means, Claire age can be greater than or equal to 21. So, the youngest age Claire can  be 21 years old.

Therefore, the required inequality is  $2x+2\geq 44$ and the correct option is B.