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.
[tex]x+(x+2)\geq 44[/tex]
[tex]2x+2\geq 44[/tex]
[tex]2x\geq 44-2[/tex]
[tex]2x\geq 42[/tex]
Divide both sides by 2.
[tex]x\geq 21[/tex]
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 [tex]2x+2\geq 44[/tex] and the correct option is B.
