Question

If a student must be at least 12 years old to have a social media account and Marcie is 11 years old, then Marcie's age is
greater than
the age requirement. If x represents Marcie's age, then
x ≤ 12
is the inequality that compares her age to the requirement.

Answer 1

The statement in your question contains a misunderstanding regarding the comparison between Marcie's age and the age requirement for having a social media account.

If Marcie is 11 years old, her age (x) is not greater than the age requirement (which is 12 years old); rather, it is less than the requirement. So we can rewrite the inequality to accurately reflect this:

Since Marcie's age must be less than 12 to meet the requirement, we would say:

\[ x < 12 \]

This indicates that Marcie's age (x) is less than the social media age requirement.

Additionally, because Marcie is not eligible for a social media account given that she is 11 years old, we can also express that:

\[ x < 12 \quad (Marcie's \, age \, is \, less \, than \, the \, requirement) \]

To summarize, the correct inequality representing Marcie's age in relation to the social media age requirement is:

\[ x < 12 \]